Think you mean me - I was trying to get away from a chipped 225 Cup, just charging around Park and Chris Curve (lovely pair of right handers, the second part Chris Curve, opening out a bit) when the tyre pressure monitor started beeping, at first I didn't know what it was, glancing at the dash while not really wanting to back off, when my sister pointed out that there was no pressure in the n/s/r tyre. Fortunately this meant I knew about it before I knackered the tyre or passed the track exit, so we trundled gently around to the exit and borrowed a trolley jack to swap it over. It was a bit of a shame as I was really getting to grips with that part of the circuit!
Credit to the car though as even though it was the loaded rear the car remained stable.
As an aside, I have a very smart (recently refurbished) but not entirely round wheel, which would be ideal as a spare for someone.