[3.13] gh-125289: Update sample code in asyncio-task.rst (GH-125292) (GH-125374)

[3.13] gh-125289: Update sample code in asyncio-task.rst (GH-125292) (GH-125374)

gh-125289: Update sample code in asyncio-task.rst (GH-125292)

* Update sample code in asyncio-task.rst

This will change **coroutines** sample code in the **Awaitables** section and make the example clearer.

* Update Doc/library/asyncio-task.rst

Revert the added print

* Update Doc/library/asyncio-task.rst

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(cherry picked from commit fa52b82c91a8e1a0971bd5fef656473ec93f41e3)

Co-authored-by: Ghorban M. Tavakoly <58617996+galmyk@users.noreply.github.com>
Co-authored-by: Carol Willing <carolcode@willingconsulting.com>