Yeah that issue I have seen, but unfortunately haven't been able to debug yet as it isn't very reproducible and usually stops happening under a debugger.
Even with the problems, just the few seconds of playing before the crash+input hang got me hooked. So, off to GOG to get q3a for $15. Also, quake3e with all the quality, widescreen, aspect ratio and FPS tweaks... chatgpt 4o seems to know everything there is to know about quake3e, for some reason.
Stopped hanging... then input locks up somehow.
Switched to chrome on win10, same issue: input locks up after a bit.