DOC: Sort the pandas API reference navbar in alphabetical order

[DoNguyenHung]

• closes DOC: Sort the pandas API reference navbar in alphabetical order #59164
• Tests added and passed if fixing a bug or adding a new feature
• All code checks passed.
• Added type annotations to new arguments/methods/functions.
• Added an entry in the latest doc/source/whatsnew/vX.X.X.rst file if fixing a bug or adding a new feature.

Changes made:

• Added JavaScript to sort only the items in each section of the sidebar and not the section headers.
• This is a re-submission of my previous pull request DOC: Sort the pandas API reference navbar in alphabetical order #62069, which was closed due to the fact that issue DOC: Sort the pandas API reference navbar in alphabetical order #59164 had a "Needs Discussion" tag. To update, the maintainer who placed the tag has acknowledged my previous PR and was okay with merging it. I've also added a comment in DOC: Sort the pandas API reference navbar in alphabetical order #59164 to answer another maintainer's question about why JavaScript was used to fix the issue instead of using Sphinx.

[DoNguyenHung]

pre-commit.ci autofix

[mroeschke]

Thanks for the PR, but I would recommend first investigating whether the pydata sphinx theme could accommodate this sorting in an enhancement. In the meantime going to close this PR, but happy to go with this approach in the future if I'm out-ruled by other core devs