Well, I always advocate for using the stuff you have. I don't think a Discord bot needs four new RasPi 5. That's likely to run on a single RasPi3. And as long as they're sitting idle, it doesn't really matter which model number they have... So go ahead and put something on your hardware, and buy new one once you've maxed out your current setup.
I'm not educated on Bazzite. Maybe tools like Distrobox or other container solutions can help running AI workloads on the gaming rig. It's likely easier to run a dedicated AI server, but I started learning about quantization, tested some models on my main computer with the help of ollama, KoboldCPP and some random Docker/Podman containers. I'm not saying this is the preferrable solution. But definitely enough to get started with AI. And you can always connect the computers within your local network, write some server applications and have them hook into ollama's API and it doesn't really matter whether that runs on your gaming pc or a server (as long as the computer in question is turned on...)