docs: cookie clear and has alignment (#86788)

Closes: #86778

Author: icyJoseph

docs/01-app/03-api-reference/04-functions/cookies.mdx

@@ -38,7 +38,6 @@ The following methods are available:
 | `has('name')`               | Boolean          | Accepts a cookie name and returns a boolean based on if the cookie exists.      |
 | `set(name, value, options)` | -                | Accepts a cookie name, value, and options and sets the outgoing request cookie. |
 | `delete(name)`              | -                | Accepts a cookie name and deletes the cookie.                                   |
-| `clear()`                   | -                | Deletes all cookies.                                                            |
 | `toString()`                | String           | Returns a string representation of the cookies.                                 |
 
 ### Options
@@ -80,7 +79,7 @@ When working with cookies in Server Components, it's important to understand tha
 - **Reading cookies** works in Server Components because you're accessing the cookie data that the client's browser sends to the server in the HTTP request headers.
 - **Setting cookies** cannot be done directly in a Server Component, even when using a Route Handler or Server Action. This is because cookies are actually stored by the browser, not the server.
 
-The server can only send instructions (via `Set-Cookie` headers) to tell the browser to store cookies - the actual storage happens on the client side. This is why cookie operations that modify state (`.set`, `.delete`, `.clear`) must be performed in a Route Handler or Server Action where the response headers can be properly set.
+The server can only send instructions (via `Set-Cookie` headers) to tell the browser to store cookies - the actual storage happens on the client side. This is why cookie operations that modify state (`.set`, `.delete`) must be performed in a Route Handler or Server Action where the response headers can be properly set.
 
 ## Understanding Cookie Behavior in Server Actions
 

docs/01-app/03-api-reference/04-functions/next-request.mdx

@@ -67,7 +67,7 @@ request.cookies.has('experiments')
 
 ### `clear()`
 
-Remove the `Set-Cookie` header from the request.
+Remove all cookies from the request.
 
 ```ts
 request.cookies.clear()

docs/01-app/03-api-reference/04-functions/next-response.mdx

@@ -51,6 +51,17 @@ response.cookies.getAll('experiments')
 response.cookies.getAll()
 ```
 
+### `has(name)`
+
+Given a cookie name, return `true` if the cookie exists on the response.
+
+```ts
+// Given incoming request /home
+let response = NextResponse.next()
+// Returns true if cookie exists, false if it does not
+response.cookies.has('experiments')
+```
+
 ### `delete(name)`
 
 Given a cookie name, delete the cookie from the response.