Upgrade pydata-sphinx-theme when search-as-you-type feature has been released

[pdurbin]

The PR has been merged:

• Add search-as-you-type (inline search results) feature pydata/pydata-sphinx-theme#2093

I'm not sure when the next release will come out.

Here's a demo of the feature: https://github.com/orgs/sphinx-doc/discussions/13222