Google has announced that they are going to block everything but Chrome from accessing certain Google features (like Chrome sync) starting on March 15. This decision by Google is going to affect Arch's chromium package a bit earlier, on March 2, when Chromium 89 gets released.
We know for sure that data syncing will stop working (passwords, bookmarks, etc.). Other features such as geolocation or enhanced spell check might continue to function for a bit longer. Extensions integrating with Google Drive might misbehave and LibreOffice will lose access to documents stored there.
Other distros such as openSUSE and Fedora have already removed the soon-to-be-limited API keys from their Chromium 88 packages. Fedora's advisory provides a great deal of perspective on this and I also found this Hackaday post to be quite informative.