Hi @manuel! Thanks for the report. I couldn’t really reproduce the main issue you were having with the status filter not updating, but I switched to this.router.currentRoute.queryParams?.solved for checking the status, which might work better.
Since tags are not linked to categories, showing the filter in every tag is not always relevant, but I went ahead and added it here anyway.
https://github.com/discourse/discourse-solved/commit/6f27ff2998147fd365cfb8a62285cca5af909fea
About your theme component, you should check for yes / no instead of solved / unsolved when filtering for solved. I just opened a PR with the proposed change.