Sorcery and Super Science might work for this. It's already most of the way there. Most characters are mutants though and all humans are sorcerers so it might not be a perfect fit
You can also try a bit of a combo move with Worlds Without Number and Stars Without Number. Both games could probably handle this by themselves, but the rules are similar enough to combine which would give you scifi and magic together
If you don't mind a little bit of legwork, 2400 should work pretty well. You can find it on DrivethruRPG. The rules are pretty straightforward and the setting does most of the heavy lifting for you
It's interesting and I'd definitely like to see how this develops. What I'm worried about is interference from monitors and sunlight
Tbh, the only chain I eat at is a local chain that would tell anyone that recognizes the name more or less where I live. They make really good burgers