For me #17 was the cleanest solution until this is resolved, no patch to core.
When faced with this issue, caspervoogt's solution https://www.drupal.org/project/drupal/issues/3075527#comment-15604529 🐛 Adding links around embedded media through CKEditor might lead to invalid/complex markup when rendered Active to disable to the "Convert line breaks into HTML" filter worked for me.
Same issue here.
As a workaround I am temporarily recreating the menu since the pages for the sub-items in admin/config and admin/structure are accessible
Thank you for reporting this, and for reporting the fix. I had the same problem and uninstalling Facets fixed it. I haven't tried the development version of Facets, this incompatibility may be fixed by now using that version.