Python: fix(python): remove deprecated nest_asyncio dependency

[Jaredw2289-svg]

Fixes #13090

Problem

The Python SDK depends on the archived nest_asyncio package, which does not support Python 3.12+loop_factory parameter, causing TypeError: run() got an unexpected keyword argument 'loop_factory'.

Fix

• Removed nest_asyncio from python/pyproject.toml
• Removed all nest_asyncio.apply() call sites
• Refactored affected code to avoid nested event loop requirements

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