fix: tighten binder/app route annotations (FastAPI/ModuleType); sync binder.pyi with signature; refresh MCP docs

openapi_first/app.py

@@ -34,6 +34,7 @@ Notes:
 
 import os
 import re
+from types import ModuleType
 from typing import Any
 
 from fastapi import FastAPI
@@ -106,7 +107,7 @@ class OpenAPIFirstApp(FastAPI):
         self,
         *,
         openapi_path: str,
-        routes_module: Any,
+        routes_module: ModuleType,
         **fastapi_kwargs: Any,
     ):
         """
@@ -116,7 +117,7 @@ class OpenAPIFirstApp(FastAPI):
             openapi_path (str):
                 Filesystem path to the OpenAPI 3.x specification file. This
                 specification is treated as the authoritative API contract.
-            routes_module (Any):
+            routes_module (ModuleType):
                 Python module containing handler functions whose names correspond
                 exactly to OpenAPI ``operationId`` values.
             **fastapi_kwargs (Any):