Filter SDK internal Tasks from Asyncio Integration Spans #4699

fix(asyncio integration): Filter SDK internal tasks from asyncio spans

ref(asyncio integration): Change Context manager name

ref(asyncio integration): Update context var names

ref(asyncio integration): Refactor asyncio context filtering

ref(asyncio integration): Refactor code to avoid duplication

fix(asyncio integration): Change loop scope for asyncio test

ref(asyncio integrations): Fix asyncio tests

fix(asyncio integration): Fix wrong merge decision for test

ref(client): Remove wrong type annotation