I’m afraid I don’t understand your question (and I don’t think others do either). I read your post 3 times; it’s lacking some details (understandable, given the frustration).
Tires get punctured all the time. If you’ve never had it happen, you’re in the minority. If the ‘dealer’ you bought the tires from want to charge you for ‘tire repair’ for a puncture, that’s typical of a dealership. Tire ‘chains’ (Les Schwab, America’s Tire, Tire Factory) typically will all perform free flat repair to tires they sell. Dealerships? Well, perhaps a minority, but not atypical.
If they’re telling you it ‘has to be replaced’, that would be due to sidewall damage (cannot be repaired by law). If that’s the case, it’s a simple matter of them showing you the damage. It happens.
Contractors are the biggest culprits for road debris/tire hazards; but regardless, I think if the prior is the case (they want to charge you for a ‘tire repair’), I think you should consider getting a referral to a local tire shop (Costco, even?) rather than doing the Dealer (a Ford dealer, if I understood the vagueness in your post correctly).
Tire repair shouldn’t run more than $10-20 depending on the shop. Getting there, however, is a different story when you have a flat (road hazard helps there).
Hope that helps.
Your post does help, I just talked to my husband and someone from the dealership told him I must have driven over something that cut the tread all the way across. I promise you I saw nothing in the road. All I know is I was driving about 30 mph and I heard a loud “pop”, ten seconds later my “Low Tire Pressure” light came on. When I got out to look I saw my back passenger tire going flat. My husband has asked for the tire but they are stonewalling on giving it to him. BTW, it’s a Ford Dealership, not a tire one.