The iGPU on the Ryzen 9 HX AI 370 is reasonably capable.

I also have a minis forum v3 with a Ryzen 7 8840U and sufficient for on the go Indy games as well as older AAA.

Yep! I mixed it up with the new minisforum and Lenovo tiny PCs.

https://frame.work/laptop13

I have a AMD 370 AI based Framework 13 and its really dang good. They have Intel and ARM RISC V options on top of the AMD options. I will say AMD graphics are probably the best experience you can have in linux at the moment. Nvidia is making some gains, and Intel’s next generation may have a decent iGPU finally.

The larger Framework 16 has a modular GPU tray that gives you options on different GPUs. I have not personally used one of these but the 16 looks awesome other than its size/weight for my applications.

https://www.dell.com/en-us/blog/this-is-xps-now/

The new Dell XPS is probably another option.

Your budget may be a challenge right now since RAM prices have gone nuts. 32gb of DDR5 can cost $400us on its own.

nvidia shenanigans aside this should be fine for linux gaming.