Purchasing a car and the shop is agreeing to a few fixes; how legally binding is it for them?

Location:

Houston, Texas,

I want to purchase a used car from a car lot with an attached/in house mechanic shop. I did a pre-purchase inspection which pointed out some repairs that would need to be made within the first year of vehicle ownership.

The dealer agreed to repair all items themselves and order/replace the parts before selling at the original/agreed on price prior to the pre-purchase inspection.

http://freeimage.host/i/screenshot-2026-05-05-at-121613-pm.BQyVI19

As seen above, on the page that lists if the vehicle has a warranty or is sold as is (being sold as is) they manually wrote in all the systems/parts they will replace under the 'systems covered' section of the contract.

This is based on the PPI report critical items.

If I make the deposit, they fix the vehicle, and a re-inspection somehow showed these weren't adequately fixed/replaced, where would I stand legally? Would they be required to fix them or void the contract? Thanks!