Not compatible with search_current_language module

That is because of the way that module works, https://git.drupalcode.org/project/search_current_language/-/blob/1.0.x/...

The tag that module uses is search_node_search

While the tag this module uses is search_exclude_node_search so you would need to update that module to add the new tag.

Also I've created a new issue over there: ✨ Support additional search page plugins. Active

The PHPUnit test in the Merge Request requires the composer.json addition from ✨ Composer.json file missing. Active and the added dev dependency.
Additionally, at the time of writing this comment, this PHPUnit test requires the merged commit in this issue ✨ Support additional search page plugins. Active (available in the dev release included in the require-dev section of composer.json in the merge request attached to this issue.)

Thanks.