Have you checked dmesg (or historical system boot logs) and also ran memtest86+ to make sure your RAM isn’t faulty? Even if it’s brand new it can still happen. If you have another system nearby (or even just a phone) you could try to SSH (make sure to enable/start the daemon before it freezes) into the machine and see if it’s still responsive.
I have poked around in logs a little. Nothing has jumped out at me. I'll test the memory and turn SSH on. I used Ubuntu on the desktop for about 8 - 10 years, and then swapped back to Windows ~2018 for work. I used to mess with hardware a lot, but I've fried my brain programming for too many years now.
I do see reports of Linux Mint hanging with nothing but the mouse working, but nothing has jumped out at me as a fix. The reports are going back a while, too. A lot of comments say it is something with the graphics card.
My new pc is a: HP OmniDesk Desktop Computer PC, AMD Ryzen 7 8700G, 32GB DDR5 Memory, 1TB NVMe SSD, Radeon 780M Graphics
Outside of this one issue, it's a beast with Linux on it (I'm not a gamer, though). I bought it right before RAM prices jacked the prices of everything up.
So, it just froze on me about 10 minutes ago. I can drop to the console. The vm manager icon did not disappear from the menu bar, so I was wrong about that. Everything freezes. I cannot interact with any browser or any app. The mouse pointer did change from a pointer to hand over a link or something at one point, but never changed back. After dropping to the console, I eventually just had to reboot and restart everything. The best way to describe it is, someone replaced my desktop with an image, and the only thing that still works is moving the mouse around.
I'm thinking it's been about a week or so since it did this last. Oh, and I was poking around on a web page when it did it. Web browsers are always involved, but not specifically any one browser.