Dumdum it looks like the main cakelabs website works but the fdroid.cakelabs.com doesn't
Yes, they announced on IRC #monero that their f-droid repo is currently broken. And as you recommended above, Obtainium is the best choice, atm. You can get either Monero_com-wallet or Cake_Wallet from Cake Labs. The installed apps from their f-droid archive can be updated directly via Obtainium.
If the builds on Forgejo work, you will soon be able to become completely independent of Github. The entire Monero community mirrors their code to the free & FLOSS driven Github alternative.
I am currently migrating¹ Haveno (RetoSwap) and Haveno Doku to Codeberg and librejo.monerodevs.org.
¹GitHub actions to forgejo CI or woodpecker CI
Stack Wallet is an alternative to cake. I use both on GOS and Linux desktop.