The main problem you will probably get would be when you screw the hook into the beam, the beam might split. Or it might split after a month of use. So you could drill in a small hole that’s like half (or less) the width of the hook. It’s less likely to split that way, but if the guide hole is too wide then it will make the hook weaker.
Another option completely is to get some chains, wrap them around the beam, and then connect them to the bag.
With either option, make sure the beam is supported perpendicular to the direction the beam runs. If the beam is going to wobble sideways, then you’ll run into troubles later. I hope that makes sense to you.
if you were to cut through the ceiling, would that also go through the roof of the garage? You wouldn’t want the rain to drain through the hole and all over the bag.
If you have one large support beam through the center of the garage that’s like 3 beams thick, then you might be able to put a hook through the center beam/layer. Then the side beams would be supporting it so it doesn’t crack open.
Anyways, it’s hard to say for sure without seeing your garage.
Good luck and enjoy!