message: Updating Api stacks docs
diff: @@ -533,9 +533,9 @@ const listFunction = api.getFunction("GET /notes");
  ### Sharing an API across stacks
  -You can create the Api in one stack, and add routes from other stacks. Expose the Api as a class property.
  +You can create the Api construct in one stack, and add routes in other stacks. To do this, expose the Api as a class property.
  -```js {8} title="lib/main-stack.js"
  +```js {8} title="lib/MainStack.js"
  const api = new Api(this, "Api", {
  routes: {
  "GET /notes": "src/list.main",
  @@ -546,16 +546,16 @@ const api = new Api(this, "Api", {
  this.api = api;
  ```
  -Then pass the Api to another stack. Behind the scene, the Api Id is exported as an output of the `main` stack, and imported to the `another` stack.
  +Then pass the Api to a different stack. Behind the scenes, the Api Id is exported as an output of the `MainStack`, and imported to `AnotherStack`.
  ```js {2} title="lib/index.js"
  const mainStack = new MainStack(app, "main");
  new AnotherStack(app, "another", { api: mainStack.api });
  ```
  -Finally, call `addRoutes`. Note that the AWS resources for the added routes are created in the `another` stack.
  +Finally, call `addRoutes`. Note that the AWS resources for the added routes will be created in `AnotherStack`.
  -```js title="lib/another-stack.js"
  +```js title="lib/AnotherStack.js"
  props.api.addRoutes(this, {
  "GET /notes/{id}": "src/get.main",
  "PUT /notes/{id}": "src/update.main",
  @@ -565,9 +565,9 @@ props.api.addRoutes(this, {
  #### Sharing an API authorizer
  -If a `defaultAuthorizer` is configured for the Api, it will be applied to all routes across stacks.
  +If a `defaultAuthorizer` is configured for the Api, it will be applied to all routes, across all stacks.
  -```js {4-10} title="lib/main-stack.js"
  +```js {4-10} title="lib/MainStack.js"
  import { HttpLambdaAuthorizer } from "@aws-cdk/aws-apigatewayv2-authorizers";
  const api = new Api(this, "Api", {
  @@ -587,7 +587,7 @@ const api = new Api(this, "Api", {
  this.api = api;
  ```
  -```js title="lib/another-stack.js"
  +```js title="lib/AnotherStack.js"
  props.api.addRoutes(this, {
  "GET /notes/{id}": "src/get.main",
  "PUT /notes/{id}": "src/update.main",
  @@ -595,7 +595,7 @@ props.api.addRoutes(this, {
  });
  ```
  -In this case, the 3 routes added in the `another` stack are also authorized by the Lambda authorizer.
  +In this case, the 3 routes added in the second stack are also secured by the Lambda authorizer.
  ## Properties
  