Hi, I'm looking for a good laptop to run linux that has a touchscreen with a stylus to take math notes(ik I should be using latex or typst but im too lazy) and good battery life, preferably one that folds into tablet mode to make taking notes easier.

I'm not planning on doing any gaming or video editing on it, just web/notes/programming and potentially a windows VM for software that doesn't work on linux. I also want to try getting into some ricing :). I've been looking at the lenovo yoga 9i, it seems to be pretty good and I found some people that had good linux experiences with it. One thing that would be nice is an hdmi port which the yoga doesn't have as my job involves a lot of AV stuff, but I can just get an adapter.

Any other suggestions? I can probably spend like 1000$ on it but obviously less is better, I'll probably get it used/refurbished from ebay.