Unable to click continue while Reinstall/Disk utilities in Boot
For a MacBook Pro there is a possibility. Assuming you are using the trackpad to click, it may be worth trying a wired USB mouse. Try on all USB ports just in case.
Oddly enough older MacBooks have actual ADB bus pointing devices, long after Apple supported ADB as an available port. Not sure if this is one of those Macs but a curious historical note, none the less.