You'd be better off getting your money back then getting someone else in to replace the blown bricks
This seems pretty unlikely. Our law stems from the UK in general, so I can get a nod toward what would happen in court - if you bothered to go that route.
Contractor says they're busy, comes up with a circumstance that the customer isn't aware of or even just tells a fib. Judge either says - "do you think it would be reasonable to move up the timeline" and contractor agrees, or judge says "this count has a full docket - if the contractor does this job in August or June, either meets the legal standard for their work. I expect to hear cases where someone has refused to do the work and cannot state that a contractor must return to your site with in X days because there is no law requiring it".
I worked for a tile contractor 25 years ago. He did customer concern work on saturdays (Because he could do it himself and didn't have to pay anyone). Quite often, the work was usually a really irritating old lady type customer, but he always went, anyway. Those customers then become great customers who tell everyone about the guy who appeased them (even though they think their fascinations are really reasonable) vs. everyone else who didn't. But not many people work like he does, and the contractor could be playing games.
Back to my original comment, being polite and pushy at the same time "really, we'd appreciate if you could fit us in the schedule sooner as we're hoping to close the issue as a customer, please keep us in mind if you have a cancellation or a saturday that you're idle" and do it once a month or so "just checking to see if you have an updated estimate".
The contractor will get the message, but you're polite so they won't get the message that you're threatening court (which they probably know more about in terms of their obligations).
And again, people will do things the way you want or they won't, but it is easier on you as the customer if you assume they don't have bad intentions, or even assume they have good intentions.
If I were the contractor, I
wouldn't want to have something so easy to dispatch hanging out there over my head in the first place, but it may not bother this contractor.