ENH: use stable sort in value_counts

[cmp0xff]

• closes ENH: make sorting algorithm options to value_counts and record it in the docs #63155
• Tests added and passed if fixing a bug or adding a new feature
  • It is not too clear to me how I can test the stability of sorting.
• All code checks passed.
  • The failing parts are not related to this PR.
• Added type annotations to new arguments/methods/functions.
  • Not applicable.
• Added an entry in the latest doc/source/whatsnew/vX.X.X.rst file if fixing a bug or adding a new feature.
  • Added in docstring.
• If I used AI to develop this pull request, I prompted it to follow AGENTS.md.
  • Only natual intelligence is involved.