What can I use to bring the iMessage window from my clamshut MacBook onto my Windows desktop so I can write texts on a big boy screen instead of on the phone?

Is there even a way to wake up a shut and sleeping MacBook? Or keep it awake at all? I'd be interested if there was that didn't have some caveat that will kill the battery.

This seems more relevant than ever in days that we're sending off an LLM prompt and then letting it chug away for who knows how long. I tend to just leave my screen on with the mouse in a hotcorner that disables the screensaver.