After two eventful meeting, and a little brunch, we have our group concept:

The Cat Heaven is already full, and only one more cat dying could trigger a Cat-aclysm (the end of cat trees and catnips 'till the end of time!)

Your only solution is to look after Billy (non-contractual name) the Cat, the glitched undying cat (he sends all his previous lives to heaven) to prevent him from ever suciding again

Stay tuned, and happy Jam everyone