If your shop/work area is WIFI accessible you could use those Alarm sensors they put on your door/window to activate a Bluetooth outlet (15A, 100-125 V, 60Hz) connected to your vacuum. So you need to have some Tech knowledge to set it up to your network. So it'll activate when you pull miter saw and deactivate when you push/return the saw. You can program the smart outlet to keep running a minute or 2 after the saw is pushed back to it's resting place to collect the residual dust in the air around the saw.
I use the "AQARA" components for my home alarm system they work with Goggle Home, Amazon Alexis & Apple Home Kit. They're affordable and work very well, I buy these from Amazon. Go on Youtube to see how the AQARA system works to make a smart home. I'm no tech expert, I learned everything about AQARA system from watching Youtube. I've never tried it with my power tools but, think it might be possible. Of course for it to work well you must have good internet speed and a decent router.