### Describe the enhancement requested This is a follow-up of https://github.com/apache/arrow/issues/47438 which includes: - usage of one of the binaries provided by https://github.com/astral-sh/python-build-standalone/releases in the free-threaded musllinux builds, see https://github.com/apache/arrow/pull/47616#discussion_r2425387802 - usage of Python install manager for the free-threaded Win wheels, see https://github.com/apache/arrow/pull/47616#discussion_r2425395860 and https://github.com/apache/arrow/issues/47437#issuecomment-3228683217 ### Component(s) Continuous Integration, Python
Describe the enhancement requested
This is a follow-up of #47438 which includes:
Component(s)
Continuous Integration, Python