I used to use the ListenBrainz app to scrobble from YT music until it had a stroke around December, so now I use Pano Scrobbler on Android. You can tell it what apps to monitor/scrobble from.
I found a web scrobbler extension that seems to be pretty popular on github that's available for like every browser and supports multiple services. But I haven't tried this before yet.
Unrelated Selfhosting Note
I also selfhost a Navidrome, which can scrobble automatically on both web or via Andriod clients like Tempus once you link your account in the server settings. I love my Navidrome + Tempus combo ❤️