Replace history syncing with RouterHistory

[thornbill]

Changes

• Unifies the experimental and stable app routers (similar to the changes in Use lazy routes everywhere #5802)
• Adds RouterHistory as an implementation of the History interface backed by the underlying react-router instance. This replaces the history syncing implementation that causes history actions to be invalid and/or duplicated (everything registers as a REPLACE).
• Adds redirects for legacy #! url format

What needs testing?

• General navigation throughout the app
• Opening/closing dialogs
• Redirects for legacy urls starting with #!

Issues
Related to #5656 (fixes the incorrect and duplicate history events that prevents us from reverting the caching behavior) (will require additional changes to fully fix)

[sonarcloud]

Quality Gate passed

Issues
0 New issues
6 Accepted issues

Measures
0 Security Hotspots
No data about Coverage
0.0% Duplication on New Code

See analysis details on SonarCloud

[thornbill]

Preview URL: https://44f001e6.jellyfin-web.pages.dev/

[nielsvanvelzen]

Did a bunch of navigation, playing items, opening menus/overlays, going to dashboard and back. Both on the unstable demo and my stable server. Overall everything feels fine, found two issues that I could also reproduce in 10.9.8, so most likely not related to this PR.

• When opening a dialog (e.g. "cast to" menu) and then close it, the browser things it can go forward. (also in 10.9.8)
• Opening the "favorite" tab on the homepage does not allow to go back to the "home" tab with a back press. (also in 10.9.8)

[grafixeyehero]

LGTM