Clips: Web sign-out doesn't end the session

Just discovered Clips and absolutely love it! But a small issue that I can't seem to solve...

What happens: On the web app, clicking "Sign out" doesn't log me out. It initially logs out, but then drops me straight back into the app, still signed in.
Setup: Self-hosted - I reproduced it on a brand-new, unmodified install
Version: 0.176.3
Any suggestions why this is happening? Thanks

Reproduce the sign-out behavior on a new, unmodified self-hosted install running version 0.176.3. Start at the web app's sign-out and session-handling entry points, then verify that signing out does not restore the authenticated session and that a subsequent app load remains signed out.

Written by the indexing model from the issue text.