DEPS: Unpin pydata-sphinx-theme
- [ ] closes #48988 (Replace xxxx with the GitHub issue number)
- [ ] [Tests added and passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#writing-tests) if fixing a bug or adding a new feature
- [ ] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
- [ ] Added [type annotations](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#type-hints) 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.

closes #53167
/preview Website preview of this PR available at: https://pandas.pydata.org/preview/53029/ /preview Website preview of this PR available at: https://pandas.pydata.org/preview/53029/ /preview Website preview of this PR available at: https://pandas.pydata.org/preview/53029/ JFYI you can click on the link of the previous `/preview` comments, it's always the same link, and the command doesn't generate the preview, only the comment with the link for convenience. :) The preview is generated by the docs CI job directly. You don't even need the command if you don't mind typing the url with the PR number. Ah okay sorry I thought the command also had to re-point the link to the latest web artifact.

Thanks for the prior suggestion, the version dropdown seems to work now When you select 1.5, I'm seeing the docs for 1.5.3:

> Date: Nov 22, 2022 Version: 1.5.2

Edit: Ah, this probably isn't relevant here. Yeah I think this is the same behavior that currently happens: https://pandas.pydata.org/pandas-docs/version/1.5/index.html

Since this fixed the doc build issue, going to merge, but happy to address any followups