To achieve Drupal 10 compatibility the "upgrade_status" module correctly reports that the following 2 issues need to be addressed:
In the file "popular_search_keywords.module" the call to deprecated function drupal_get_path(). Deprecated in drupal:9.3.0 and is removed from drupal:10.0.0. Use Drupal\Core\Extension\ExtensionPathResolver::getPath() instead.
In the file "popular_search_keywords.info.yml" the value of core_version_requirement: ^8 || ^9 is not compatible with the next major version of Drupal core.
Active
1.0
Code
The attached patch corrects the 2 issues and requires a minimum of Drupal 8.9 to be applied.
Thank you @leewbutler for providing your patch. Having a look at the issue queue I would think this is likely a duplicate of 📌 Automated Drupal 10 compatibility fixes RTBC