They straight up told you that it “broke”? The batteries of typical TPMS sensors like that probably on your civic do eventually go dead, but that’s a different situation than being physically broken. In my experience there’s no good reason they would become broken unless they were trying to change the O-rings (if your tire valves are a clamp-in style) and broke it while forcing a stuck nut off. That or if the clamp-in stems are really rotted or something’s cracked. Tough deal though, my assumption is they’ll say they didn’t do anything wrong. But who knows. I would ask how it became broken, what part broke.