Not sure that bait doesn't attract them from outside the garage. Had the problem, used baited spring traps, caught mice. When I hadn't caught any more for a while I shifted to spring traps with the yellow trigger pad, no bait. Haven't had a problem for over a year. Maybe it's like "bear smell bacon 1/2 mile away"?
Hope the Democrat using live traps realizes he will have to take Mickey to California for release, or Mickey will beat him home.