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]

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