Worst case if you can't loosen and remove the bolt is to drill it out and install a helicoil if there's enough metal left to support it. That requires special drill bit, tap, and installation tools. Trying to centerpunch a broken off bolt can be problematic since it's likely not flat...the centerpunch tends to slide. The hole must be relatively well centered in the bolt shank or you'll end up damaging the threads when you try to drill it out. If it sticks out some after top removeal, sometimes, filing it a little bit flatter or a touch with a grinder can make it easier to get the centerpunch to go where you want.
Note, if you've not used a removal tool (one brand is EZOUT), they are quite hard so that they can cut into the hole you drilled, but as a result, they're brittle. If you break it off, it's nearly impossible to then drill the bolt out.
If there's enough metal, and the old bolt is just too rusted in place, you could drill and tap it for the next bigger bolt diameter. You might want to consider SS or brass, which is less likely to rust/corrode in place.