My car with a faulty TPMS and a tire pressure light that’s perpetually on passed the state inspection on Monday.

When I called ahead of time to ask exactly your question, they told me a faulty TPMS won’t cause a fail at the moment, but there are efforts to add it to state inspection criteria in the future. (They also sent me an inspection report that highlighted the tire pressure dashboard light as being on, and I was spooked for a minute there, but when I went to pick up my car they laughed and said 90% of the cars they see would fail if dashboard lights were disqualifying)