https://www.amazon.com/3-40Ghz-Desktop-Computer-Windows-Computers/dp/B0BS9VXH1N

I am using an Ace N95 for a Plex server. Currently still on windows11 on it, if it crashes I'll linux/docker it. 7 watts idle running windows/plex, 25 watts max. Can do 2x 4k-hdr transcodes, possibly more under docker. Not the biggest or baddest, but it's certainly in the budget at 165$ USD

Mini PC Intel 12th Gen N95(up to 3.40Ghz) 8GB DDR4 256GB M.2 SSD Mini Desktop Computer Windows 11 Pro Mini Computers Support 4K Dual Display/BT 4.2/ WiFi 5/USB 3.0/ Auto Power On (amazon.com)

This box I listed earlier has the N95 cpu which is about Double the TDP 15w vs 6w. It's also only 170$ USD