Avoid client wrapper redeclaration

Co-authored-by: Copilot App <223556219+Copilot@users.noreply.github.com>

Copilot-Session: 76f2163a-0773-4889-b627-1bd4e5c7bea0

Author: andystaples

azure-functions-durable/azure/durable_functions/decorators/durable_app.py

@@ -434,23 +434,25 @@ def set_client_metadata(client_bound: Callable[..., Any]) -> None:
 
             if inspect.iscoroutinefunction(function):
                 @wraps(function)
-                async def client_bound(*args: Any, **kwargs: Any) -> Any:
+                async def async_client_bound(*args: Any, **kwargs: Any) -> Any:
                     bound, client = bind_client(args, kwargs)
                     try:
                         result = function(*bound.args, **bound.kwargs)
                         return await result
                     finally:
                         if isinstance(client, DurableFunctionsClient):
                             client.schedule_close()
+                client_bound = async_client_bound
             else:
                 @wraps(function)
-                def client_bound(*args: Any, **kwargs: Any) -> Any:
+                def sync_client_bound(*args: Any, **kwargs: Any) -> Any:
                     bound, client = bind_client(args, kwargs)
                     try:
                         return function(*bound.args, **bound.kwargs)
                     finally:
                         if isinstance(client, DurableFunctionsClient):
                             client.schedule_close()
+                client_bound = sync_client_bound
 
             set_client_metadata(client_bound)
             if isinstance(user_fn, FunctionBuilder):