Gnome extensions could no longer be managed with snap based firefox

In impish firefox was changed from being a standard .deb based application to being installed via snap.

In the snap version of firefox, the GNOME Shell integration extension could no longer connect to the host connector.

When browsing to https://extensions.gnome.org and installing the extension to firefox, the following error message is displayed in a red box on the page:

---8<---
Although GNOME Shell integration extension is running, native host connector is not detected. Refer documentation for instructions about installing connector.
--->8---

The same happens in chromium btw..

I installed the old version of firefox with apt and there the error message is not shown.
Most of my extensions don't work or could not be enabled, but that's another story and I'm going to file another bug for this.

ProblemType: Bug
DistroRelease: Ubuntu 21.10
Package: ubuntu-gnome-desktop (not installed)
ProcVersionSignature: Ubuntu 5.13.0-20.20-generic 5.13.14
Uname: Linux 5.13.0-20-generic x86_64
ApportVersion: 2.20.11-0ubuntu70
Architecture: amd64
CasperMD5CheckResult: unknown
CurrentDesktop: ubuntu:GNOME
Date: Fri Oct 22 16:33:42 2021
InstallationDate: Installed on 2019-11-25 (697 days ago)
InstallationMedia: Ubuntu 19.10 "Eoan Ermine" - Release amd64 (20191017)
SourcePackage: ubuntu-gnome-meta
UpgradeStatus: Upgraded to impish on 2021-10-22 (0 days ago)