[asyncio] Add annotations for asyncio.base_tasks._task_repr (#15558)

Author: jonathandung

stdlib/asyncio/base_tasks.pyi

@@ -1,9 +1,17 @@
+import sys
 from _typeshed import StrOrBytesPath
 from types import FrameType
 from typing import Any
 
-from . import tasks
+from .tasks import Task
 
-def _task_repr_info(task: tasks.Task[Any]) -> list[str]: ...  # undocumented
-def _task_get_stack(task: tasks.Task[Any], limit: int | None) -> list[FrameType]: ...  # undocumented
-def _task_print_stack(task: tasks.Task[Any], limit: int | None, file: StrOrBytesPath) -> None: ...  # undocumented
+def _task_repr_info(task: Task[Any]) -> list[str]: ...  # undocumented
+
+if sys.version_info >= (3, 13):
+    def _task_repr(task: Task[Any]) -> str: ...  # undocumented
+
+elif sys.version_info >= (3, 11):
+    def _task_repr(self: Task[Any]) -> str: ...  # undocumented
+
+def _task_get_stack(task: Task[Any], limit: int | None) -> list[FrameType]: ...  # undocumented
+def _task_print_stack(task: Task[Any], limit: int | None, file: StrOrBytesPath) -> None: ...  # undocumented