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f62a7a91 - [CI] [GHA] Use Ubuntu 22 for py3.13 tests in manylinux Python API job (#35992)

[CI] [GHA] Use Ubuntu 22 for py3.13 tests in manylinux Python API job (#35992) ### Details: - Python 3.13 is maintained only on Ubuntu 22 and newer as per https://github.com/deadsnakes/py3.13#py313 ### AI Assistance: - *AI assistance used: no*