I went through this whole process of trying to fix my factory TPMS, but realized it wasn't worth it. For possibly a few hundred dollars to fix, all you get is a basic warning of low pressure, with no indication of even which tire it is.

I went with a $60 wireless TPMS system that took 1 minute to install, super accurate and also shows you current PSI of each tire and even the tire temps, which the factory one couldn't dream of offering.

All you do is install the valve stem cap sensors on each wheel, then stick your wireless digital receiver anywhere you want in the cabin. Literally the size of a deck of cards, rechargeable and most have a solar panel to keep it charged up.

The best $60 you can spend on your car, I put them on all my old cars and even our new Toyota which also came with a basic warning only system so I can see the individual tire pressures. You can find many of these systems for sale on Amazon. The only issue is the batteries in the sensors only last about 1-2 years, but that a easy $5 and 5 minute job to fix.