def METHOD_NAME():
    """Tool typing for ToolCache is correct."""
    # Tools that are intentionally not annotated in ToolCache.
    tools_unannotated = {"cookiecutter"}
    # Tool names to exclude from the dynamic annotation checks; they are manually checked.
    tool_names_skip_dynamic_check = {
        "app_context",  # Tested by the Docker module
        "git",  # An external API, not a Briefcase Tool
        "xcode_cli",  # Tested by the Xcode module
        "ETC_OS_RELEASE",  # A constant, not a tool
    }
    # Tool classes to exclude from dynamic annotation checks.
    tool_klasses_skip_dynamic_checks = {
        "Git",
        "DockerAppContext",
        "NativeAppContext",
        "LinuxDeployQtPlugin",
        "LinuxDeployGtkPlugin",
        "LinuxDeployURLPlugin",
        "LinuxDeployLocalFilePlugin",
    }
    # Ensure all modules containing Tools are exported in ``briefcase.integrations``.
    assert sorted(integrations_modules()) == sorted(briefcase.integrations.__all__)
    # Ensure defined Tool modules/classes are annotated in ToolCache.
    for tool_module_name in briefcase.integrations.__all__:
        if tool_module_name not in tools_unannotated:
            assert tool_module_name in ToolCache.__annotations__
        for tool_name in tools_for_module(tool_module_name):
            if tool_name not in tool_klasses_skip_dynamic_checks:
                assert tool_name in ToolCache.__annotations__.values()
    # Ensure annotated tools use valid Tool names.
    for tool_name, tool_klass_name in ToolCache.__annotations__.items():
        if tool_name not in tool_names_skip_dynamic_check:
            assert tool_name in briefcase.integrations.__all__
            assert tool_klass_name in tools_for_module(tool_name)
            tool_klass = getattr(
                importlib.import_module(f"briefcase.integrations.{tool_name}"),
                tool_klass_name,
            )
            assert tool_name == tool_klass.name
    # Manually check tools that aren't Tool classes or use special annotations.
    app_context_klasses = [
        briefcase.integrations.docker.DockerAppContext.__name__,
        briefcase.integrations.subprocess.Subprocess.__name__,
    ]
    app_context_annotated = ToolCache.__annotations__["app_context"].split(" | ")
    assert sorted(app_context_klasses) == sorted(app_context_annotated)
    assert ToolCache.__annotations__["git"] == "git_"
    assert ToolCache.__annotations__["xcode_cli"] == "XcodeCliTools"
    assert ToolCache.__annotations__["ETC_OS_RELEASE"] == "Path"