gh-97696 Remove unnecessary check for eager_start kwarg

Lib/asyncio/tasks.py

@@ -931,18 +931,22 @@ def callback():
 
 
 def create_eager_task_factory(custom_task_constructor):
-
-    if "eager_start" not in inspect.signature(custom_task_constructor).parameters:
-        raise TypeError(
-            "Provided constructor does not support eager task execution")
+    """
+    Creates a function suitable for use as a task factory on an event-loop.
+
+    The tasks created will be started immediately (rather than being first
+    scheduled to an event loop). The constructor argument can be any callable
+    that returns a ``Task`` compatible object and has a signature compatible
+    with ``Task.__init__``, including the ``eager_start`` keyword argument.
+    """
 
     def factory(loop, coro, *, name=None, context=None):
         return custom_task_constructor(
             coro, loop=loop, name=name, context=context, eager_start=True)
 
-
     return factory
 
+
 eager_task_factory = create_eager_task_factory(Task)