MkDocs `use_directory_urls: true` bug with `click==8.2.2`

Context

Latest version of click dependency (released August 2, 2025) is breaking use_directory_urls: true functionality in MkDocs and MkDocs Material.

Bug description

This is causing 404's when clicking on links to previously published pages.

Example Good with click==8.2.1
https://docs-paasvkc6c-ultralytics.vercel.app/models/yolo11/

Example Bad with click==8.2.2
https://docs-paasvkc6c-ultralytics.vercel.app/models/yolo11/index.html

Related links

ultralytics/ultralytics#21568

Reproduction

Reproduce with steps above.

Steps to reproduce

Set use_directory_urls: true in mkdocs.yml with click==8.2.2 installed in environment, then run mkdocs serve.

Browser

Chrome