Add support for catch-all route params in NextRequest page type decla…

…ration (#36137)

fixes #36136

## Bug

- [X] Related issues linked using `fixes #number`
- [ ] Integration tests added
- [ ] Errors have helpful link attached, see `contributing.md`

## Feature

- [ ] Implements an existing feature request or RFC. Make sure the feature request has been accepted for implementation before opening a PR.
- [ ] Related issues linked using `fixes #number`
- [ ] Integration tests added
- [ ] Documentation added
- [ ] Telemetry added. In case of a feature if it's used or not.
- [ ] Errors have helpful link attached, see `contributing.md`

## Documentation / Examples

- [ ] Make sure the linting passes by running `yarn lint`

packages/next/server/web/spec-extension/request.ts

@@ -13,7 +13,7 @@ export class NextRequest extends Request {
     cookieParser(): { [key: string]: string }
     geo: RequestData['geo']
     ip?: string
-    page?: { name?: string; params?: { [key: string]: string } }
+    page?: { name?: string; params?: { [key: string]: string | string[] } }
     ua?: UserAgent | null
     url: NextURL
   }
@@ -105,7 +105,7 @@ export interface RequestInit extends globalThis.RequestInit {
   }
   page?: {
     name?: string
-    params?: { [key: string]: string }
+    params?: { [key: string]: string | string[] }
   }
 }