Routing between `docs-app` and `docs-api` (and back) appear broken

[johanrd]

1. Go here: https://ue-table.pages.dev/2-plugins/sticky-columns.md
2. Click link to API docs and see that it fails
3. Reload on the page and see that the API docs load on the URL, so the ink seems fine in itself
4. Click the back button in the browser and see that https://ue-table.pages.dev/2-plugins/sticky-columns.md is not rendered

Screen.Recording.2026-01-28.at.07.33.46.mov