Simple thing to do is have a machine shop turn the axle down to 22mm (it’s 22.2mm currently) then you can use a standard Euro BMX BB. Alternatively you can use .9mm top hat shims and then use a 24mm Shimano hollowtech BB.
Bullseye did make some 22.2mm BBs recently, however they are not cheap.
You can find original cups but there are two issues-1) they are the worst bearings in the world and break in minutes, 2) they are so expensive if you can find them.
I have 6 sets of bullseyes. I use top hat shims on 2 of them, I have machined two down to 22mm and the others I use with original bearings. The best is machining down to 22mm as Euro BMX BBs are the most similar to the original and don’t involve weak shims or bearings