I'd support Cobra getting a cat, it's probably the one animal that would work well with him. Their dietary requirements are "Fill up the bowl with food" and not anything more complicated than that, you can give them scraps of meat or small portions of tuna if you run out and the boy seems to have no end to those resources. You know Clint (Or even his trolls) would DoorDash him cat food anyway. They are affectionate and kind creatures, they need almost no attention because they largely take care of themselves and spend most of their life sleeping, whatever screaming retardation is just behavior the cat can and will ignore. Young cats also like to fuck around and climb on things, I think it'd be hilarious to have Cobra running after a cat because he keeps knocking over his booze bottles and his wand shit.
The only issue I can see is him regularly changing the cat litter. I don't think he'd do it enough and his place would just smell like cat shit 24/7.