We are currently solving the following issue within our repository. Here is the issue text:
--- BEGIN ISSUE ---
Bug: Caching route handlers with the same path but different methods leads to overwriting of cache
### Description

Caching route handlers with the same path (`/` in this example) but different methods (`GET` and `POST` in this example) leads to overwriting of cache. The comments above the assert statements illustrate the current vs expected behavior.

This is related to https://github.com/litestar-org/litestar/issues/2573 and is not restricted to just `OPTIONS` and `GET`

### URL to code causing the issue

_No response_

### MCVE

```python
from litestar import get, post
from litestar.testing import create_test_client


@get(cache=10)
async def something() -> str:
    return "text"


@post(cache=10)
async def something_post() -> str:
    return "text_post"


with create_test_client([something, something_post]) as client:
    response = client.post("")
    assert response.status_code == 201
    assert response.text == "text_post"

    # these shouldn't pass, but they do
    response = client.get("")
    assert response.status_code == 201
    assert response.text == "text_post"

    # these should pass, but they don't
    response = client.get("")
    assert response.status_code == 200
    assert response.text == "text"
```


### Steps to reproduce

```bash
1. Run the code
2. The second set of asserts should fail, the third set of asserts should pass
```


### Screenshots

```bash
"![SCREENSHOT_DESCRIPTION](SCREENSHOT_LINK.png)"
```


### Logs

_No response_

### Litestar Version

GitHub - main (fd06486e2ad4ed0a41636659fec4f093a09e3dd0) as of creating this issue

### Platform

- [ ] Linux
- [X] Mac
- [ ] Windows
- [ ] Other (Please specify in the description above)

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--- END ISSUE ---

Below are some code segments, each from a relevant file. One or more of these files may contain bugs.
--- BEGIN FILES ---
Path: `litestar/config/response_cache.py`
Content:
```
1 from __future__ import annotations
2 
3 from dataclasses import dataclass, field
4 from typing import TYPE_CHECKING, Any, Callable, final
5 from urllib.parse import urlencode
6 
7 from litestar.status_codes import (
8     HTTP_200_OK,
9     HTTP_300_MULTIPLE_CHOICES,
10     HTTP_301_MOVED_PERMANENTLY,
11     HTTP_308_PERMANENT_REDIRECT,
12 )
13 
14 if TYPE_CHECKING:
15     from litestar import Litestar
16     from litestar.connection import Request
17     from litestar.stores.base import Store
18     from litestar.types import CacheKeyBuilder, HTTPScope
19 
20 __all__ = ("ResponseCacheConfig", "default_cache_key_builder", "CACHE_FOREVER")
21 
22 
23 @final
24 class CACHE_FOREVER:  # noqa: N801
25     """Sentinel value indicating that a cached response should be stored without an expiration, explicitly skipping the
26     default expiration
27     """
28 
29 
30 def default_cache_key_builder(request: Request[Any, Any, Any]) -> str:
31     """Given a request object, returns a cache key by combining the path with the sorted query params.
32 
33     Args:
34         request: request used to generate cache key.
35 
36     Returns:
37         A combination of url path and query parameters
38     """
39     query_params: list[tuple[str, Any]] = list(request.query_params.dict().items())
40     query_params.sort(key=lambda x: x[0])
41     return request.url.path + urlencode(query_params, doseq=True)
42 
43 
44 def default_do_cache_predicate(_: HTTPScope, status_code: int) -> bool:
45     """Given a status code, returns a boolean indicating whether the response should be cached.
46 
47     Args:
48         _: ASGI scope.
49         status_code: status code of the response.
50 
51     Returns:
52         A boolean indicating whether the response should be cached.
53     """
54     return HTTP_200_OK <= status_code < HTTP_300_MULTIPLE_CHOICES or status_code in (
55         HTTP_301_MOVED_PERMANENTLY,
56         HTTP_308_PERMANENT_REDIRECT,
57     )
58 
59 
60 @dataclass
61 class ResponseCacheConfig:
62     """Configuration for response caching.
63 
64     To enable response caching, pass an instance of this class to :class:`Litestar <.app.Litestar>` using the
65     ``response_cache_config`` key.
66     """
67 
68     default_expiration: int | None = 60
69     """Default cache expiration in seconds used when a route handler is configured with ``cache=True``."""
70     key_builder: CacheKeyBuilder = field(default=default_cache_key_builder)
71     """:class:`CacheKeyBuilder <.types.CacheKeyBuilder>`. Defaults to :func:`default_cache_key_builder`."""
72     store: str = "response_cache"
73     """Name of the :class:`Store <.stores.base.Store>` to use."""
74     cache_response_filter: Callable[[HTTPScope, int], bool] = field(default=default_do_cache_predicate)
75     """A callable that receives connection scope and a status code, and returns a boolean indicating whether the
76     response should be cached."""
77 
78     def get_store_from_app(self, app: Litestar) -> Store:
79         """Get the store defined in :attr:`store` from an :class:`Litestar <.app.Litestar>` instance."""
80         return app.stores.get(self.store)
81
```
--- END FILES ---

Please first localize the bug based on the issue statement, and then generate a patch according to the `git diff` format fenced by three backticks.

Here is an example:

```diff
diff --git a/examples/server_async.py b/examples/server_async.py
--- a/examples/server_async.py
+++ b/examples/server_async.py
@@ -313,4 +313,4 @@
 
 
 if __name__ == "__main__":
-    asyncio.run(run_async_server("."), debug=True)
+    asyncio.run(run_async_server(), debug=True)
diff --git a/examples/server_sync.py b/examples/server_sync.py
--- a/examples/server_sync.py
+++ b/examples/server_sync.py
@@ -313,5 +313,5 @@
 
 
 if __name__ == "__main__":
-    server = run_sync_server(".")
+    server = run_sync_server()
     server.shutdown()

```

diff --git a/litestar/config/response_cache.py b/litestar/config/response_cache.py
--- a/litestar/config/response_cache.py
+++ b/litestar/config/response_cache.py
@@ -28,7 +28,8 @@
 
 
 def default_cache_key_builder(request: Request[Any, Any, Any]) -> str:
-    """Given a request object, returns a cache key by combining the path with the sorted query params.
+    """Given a request object, returns a cache key by combining
+    the request method and path with the sorted query params.
 
     Args:
         request: request used to generate cache key.
@@ -38,7 +39,7 @@
     """
     query_params: list[tuple[str, Any]] = list(request.query_params.dict().items())
     query_params.sort(key=lambda x: x[0])
-    return request.url.path + urlencode(query_params, doseq=True)
+    return request.method + request.url.path + urlencode(query_params, doseq=True)
 
 
 def default_do_cache_predicate(_: HTTPScope, status_code: int) -> bool:

{"golden_diff": "diff --git a/litestar/config/response_cache.py b/litestar/config/response_cache.py\n--- a/litestar/config/response_cache.py\n+++ b/litestar/config/response_cache.py\n@@ -28,7 +28,8 @@\n \n \n def default_cache_key_builder(request: Request[Any, Any, Any]) -> str:\n-    \"\"\"Given a request object, returns a cache key by combining the path with the sorted query params.\n+    \"\"\"Given a request object, returns a cache key by combining\n+    the request method and path with the sorted query params.\n \n     Args:\n         request: request used to generate cache key.\n@@ -38,7 +39,7 @@\n     \"\"\"\n     query_params: list[tuple[str, Any]] = list(request.query_params.dict().items())\n     query_params.sort(key=lambda x: x[0])\n-    return request.url.path + urlencode(query_params, doseq=True)\n+    return request.method + request.url.path + urlencode(query_params, doseq=True)\n \n \n def default_do_cache_predicate(_: HTTPScope, status_code: int) -> bool:\n", "issue": "Bug: Caching route handlers with the same path but different methods leads to overwriting of cache\n### Description\r\n\r\nCaching route handlers with the same path (`/` in this example) but different methods (`GET` and `POST` in this example) leads to overwriting of cache. The comments above the assert statements illustrate the current vs expected behavior.\r\n\r\nThis is related to https://github.com/litestar-org/litestar/issues/2573 and is not restricted to just `OPTIONS` and `GET`\r\n\r\n### URL to code causing the issue\r\n\r\n_No response_\r\n\r\n### MCVE\r\n\r\n```python\r\nfrom litestar import get, post\r\nfrom litestar.testing import create_test_client\r\n\r\n\r\n@get(cache=10)\r\nasync def something() -> str:\r\n    return \"text\"\r\n\r\n\r\n@post(cache=10)\r\nasync def something_post() -> str:\r\n    return \"text_post\"\r\n\r\n\r\nwith create_test_client([something, something_post]) as client:\r\n    response = client.post(\"\")\r\n    assert response.status_code == 201\r\n    assert response.text == \"text_post\"\r\n\r\n    # these shouldn't pass, but they do\r\n    response = client.get(\"\")\r\n    assert response.status_code == 201\r\n    assert response.text == \"text_post\"\r\n\r\n    # these should pass, but they don't\r\n    response = client.get(\"\")\r\n    assert response.status_code == 200\r\n    assert response.text == \"text\"\r\n```\r\n\r\n\r\n### Steps to reproduce\r\n\r\n```bash\r\n1. Run the code\r\n2. The second set of asserts should fail, the third set of asserts should pass\r\n```\r\n\r\n\r\n### Screenshots\r\n\r\n```bash\r\n\"![SCREENSHOT_DESCRIPTION](SCREENSHOT_LINK.png)\"\r\n```\r\n\r\n\r\n### Logs\r\n\r\n_No response_\r\n\r\n### Litestar Version\r\n\r\nGitHub - main (fd06486e2ad4ed0a41636659fec4f093a09e3dd0) as of creating this issue\r\n\r\n### Platform\r\n\r\n- [ ] Linux\r\n- [X] Mac\r\n- [ ] Windows\r\n- [ ] Other (Please specify in the description above)\r\n\r\n<!-- POLAR PLEDGE BADGE START -->\r\n---\r\n> [!NOTE]  \r\n> While we are open for sponsoring on [GitHub Sponsors](https://github.com/sponsors/litestar-org/) and \r\n> [OpenCollective](https://opencollective.com/litestar), we also utilize [Polar.sh](https://polar.sh/) to engage in pledge-based sponsorship.\r\n>\r\n> Check out all issues funded or available for funding [on our Polar.sh Litestar dashboard](https://polar.sh/litestar-org)\r\n> * If you would like to see an issue prioritized, make a pledge towards it!\r\n> * We receive the pledge once the issue is completed & verified\r\n> * This, along with engagement in the community, helps us know which features are a priority to our users.\r\n\r\n<a href=\"https://polar.sh/litestar-org/litestar/issues/2588\">\r\n<picture>\r\n  <source media=\"(prefers-color-scheme: dark)\" srcset=\"https://polar.sh/api/github/litestar-org/litestar/issues/2588/pledge.svg?darkmode=1\">\r\n  <img alt=\"Fund with Polar\" src=\"https://polar.sh/api/github/litestar-org/litestar/issues/2588/pledge.svg\">\r\n</picture>\r\n</a>\r\n<!-- POLAR PLEDGE BADGE END -->\r\n\n", "before_files": [{"content": "from __future__ import annotations\n\nfrom dataclasses import dataclass, field\nfrom typing import TYPE_CHECKING, Any, Callable, final\nfrom urllib.parse import urlencode\n\nfrom litestar.status_codes import (\n    HTTP_200_OK,\n    HTTP_300_MULTIPLE_CHOICES,\n    HTTP_301_MOVED_PERMANENTLY,\n    HTTP_308_PERMANENT_REDIRECT,\n)\n\nif TYPE_CHECKING:\n    from litestar import Litestar\n    from litestar.connection import Request\n    from litestar.stores.base import Store\n    from litestar.types import CacheKeyBuilder, HTTPScope\n\n__all__ = (\"ResponseCacheConfig\", \"default_cache_key_builder\", \"CACHE_FOREVER\")\n\n\n@final\nclass CACHE_FOREVER:  # noqa: N801\n    \"\"\"Sentinel value indicating that a cached response should be stored without an expiration, explicitly skipping the\n    default expiration\n    \"\"\"\n\n\ndef default_cache_key_builder(request: Request[Any, Any, Any]) -> str:\n    \"\"\"Given a request object, returns a cache key by combining the path with the sorted query params.\n\n    Args:\n        request: request used to generate cache key.\n\n    Returns:\n        A combination of url path and query parameters\n    \"\"\"\n    query_params: list[tuple[str, Any]] = list(request.query_params.dict().items())\n    query_params.sort(key=lambda x: x[0])\n    return request.url.path + urlencode(query_params, doseq=True)\n\n\ndef default_do_cache_predicate(_: HTTPScope, status_code: int) -> bool:\n    \"\"\"Given a status code, returns a boolean indicating whether the response should be cached.\n\n    Args:\n        _: ASGI scope.\n        status_code: status code of the response.\n\n    Returns:\n        A boolean indicating whether the response should be cached.\n    \"\"\"\n    return HTTP_200_OK <= status_code < HTTP_300_MULTIPLE_CHOICES or status_code in (\n        HTTP_301_MOVED_PERMANENTLY,\n        HTTP_308_PERMANENT_REDIRECT,\n    )\n\n\n@dataclass\nclass ResponseCacheConfig:\n    \"\"\"Configuration for response caching.\n\n    To enable response caching, pass an instance of this class to :class:`Litestar <.app.Litestar>` using the\n    ``response_cache_config`` key.\n    \"\"\"\n\n    default_expiration: int | None = 60\n    \"\"\"Default cache expiration in seconds used when a route handler is configured with ``cache=True``.\"\"\"\n    key_builder: CacheKeyBuilder = field(default=default_cache_key_builder)\n    \"\"\":class:`CacheKeyBuilder <.types.CacheKeyBuilder>`. Defaults to :func:`default_cache_key_builder`.\"\"\"\n    store: str = \"response_cache\"\n    \"\"\"Name of the :class:`Store <.stores.base.Store>` to use.\"\"\"\n    cache_response_filter: Callable[[HTTPScope, int], bool] = field(default=default_do_cache_predicate)\n    \"\"\"A callable that receives connection scope and a status code, and returns a boolean indicating whether the\n    response should be cached.\"\"\"\n\n    def get_store_from_app(self, app: Litestar) -> Store:\n        \"\"\"Get the store defined in :attr:`store` from an :class:`Litestar <.app.Litestar>` instance.\"\"\"\n        return app.stores.get(self.store)\n", "path": "litestar/config/response_cache.py"}], "after_files": [{"content": "from __future__ import annotations\n\nfrom dataclasses import dataclass, field\nfrom typing import TYPE_CHECKING, Any, Callable, final\nfrom urllib.parse import urlencode\n\nfrom litestar.status_codes import (\n    HTTP_200_OK,\n    HTTP_300_MULTIPLE_CHOICES,\n    HTTP_301_MOVED_PERMANENTLY,\n    HTTP_308_PERMANENT_REDIRECT,\n)\n\nif TYPE_CHECKING:\n    from litestar import Litestar\n    from litestar.connection import Request\n    from litestar.stores.base import Store\n    from litestar.types import CacheKeyBuilder, HTTPScope\n\n__all__ = (\"ResponseCacheConfig\", \"default_cache_key_builder\", \"CACHE_FOREVER\")\n\n\n@final\nclass CACHE_FOREVER:  # noqa: N801\n    \"\"\"Sentinel value indicating that a cached response should be stored without an expiration, explicitly skipping the\n    default expiration\n    \"\"\"\n\n\ndef default_cache_key_builder(request: Request[Any, Any, Any]) -> str:\n    \"\"\"Given a request object, returns a cache key by combining\n    the request method and path with the sorted query params.\n\n    Args:\n        request: request used to generate cache key.\n\n    Returns:\n        A combination of url path and query parameters\n    \"\"\"\n    query_params: list[tuple[str, Any]] = list(request.query_params.dict().items())\n    query_params.sort(key=lambda x: x[0])\n    return request.method + request.url.path + urlencode(query_params, doseq=True)\n\n\ndef default_do_cache_predicate(_: HTTPScope, status_code: int) -> bool:\n    \"\"\"Given a status code, returns a boolean indicating whether the response should be cached.\n\n    Args:\n        _: ASGI scope.\n        status_code: status code of the response.\n\n    Returns:\n        A boolean indicating whether the response should be cached.\n    \"\"\"\n    return HTTP_200_OK <= status_code < HTTP_300_MULTIPLE_CHOICES or status_code in (\n        HTTP_301_MOVED_PERMANENTLY,\n        HTTP_308_PERMANENT_REDIRECT,\n    )\n\n\n@dataclass\nclass ResponseCacheConfig:\n    \"\"\"Configuration for response caching.\n\n    To enable response caching, pass an instance of this class to :class:`Litestar <.app.Litestar>` using the\n    ``response_cache_config`` key.\n    \"\"\"\n\n    default_expiration: int | None = 60\n    \"\"\"Default cache expiration in seconds used when a route handler is configured with ``cache=True``.\"\"\"\n    key_builder: CacheKeyBuilder = field(default=default_cache_key_builder)\n    \"\"\":class:`CacheKeyBuilder <.types.CacheKeyBuilder>`. Defaults to :func:`default_cache_key_builder`.\"\"\"\n    store: str = \"response_cache\"\n    \"\"\"Name of the :class:`Store <.stores.base.Store>` to use.\"\"\"\n    cache_response_filter: Callable[[HTTPScope, int], bool] = field(default=default_do_cache_predicate)\n    \"\"\"A callable that receives connection scope and a status code, and returns a boolean indicating whether the\n    response should be cached.\"\"\"\n\n    def get_store_from_app(self, app: Litestar) -> Store:\n        \"\"\"Get the store defined in :attr:`store` from an :class:`Litestar <.app.Litestar>` instance.\"\"\"\n        return app.stores.get(self.store)\n", "path": "litestar/config/response_cache.py"}]}