Refer to TimeoutError instead of asyncio.TimeoutError in asyncio-task.rst (#106136)

Co-authored-by: Hugo van Kemenade <[email protected]>

Author: lightdrk

Doc/library/asyncio-task.rst

@@ -654,16 +654,16 @@ Timeouts
     If ``long_running_task`` takes more than 10 seconds to complete,
     the context manager will cancel the current task and handle
     the resulting :exc:`asyncio.CancelledError` internally, transforming it
-    into an :exc:`asyncio.TimeoutError` which can be caught and handled.
+    into a :exc:`TimeoutError` which can be caught and handled.
 
     .. note::
 
       The :func:`asyncio.timeout` context manager is what transforms
-      the :exc:`asyncio.CancelledError` into an :exc:`asyncio.TimeoutError`,
-      which means the :exc:`asyncio.TimeoutError` can only be caught
+      the :exc:`asyncio.CancelledError` into a :exc:`TimeoutError`,
+      which means the :exc:`TimeoutError` can only be caught
       *outside* of the context manager.
 
-    Example of catching :exc:`asyncio.TimeoutError`::
+    Example of catching :exc:`TimeoutError`::
 
         async def main():
             try: