A mole of an ideal gas takes up 22.4 L at STP. Burning a hydrocarbon makes lots of H20 and CO2; the latter is 1-for-1 with the oxygen in the air, but the water is 2-for-1. Plus the heating, which causes the expansion or pressure increase. But I’d like to see what happens after a little time has elapsed and the gases cool off and the water condenses. I suspect you need to hook the tire up to a compressor really soon — this is a trick to seat the tire on the rim.
Yeah, that looks really safe. Some other sources confirm what you suspected – if you don’t start pumping air into the tire quite promptly, it may pop right back off the rim as the CO2 cools and the H2O condenses. And although it’s really not much water, I still wonder whether it’s good for the rim and rubber to have that trapped moisture. I’d guess it’s probably not a major issue, but on the other hand, I don’t like to just guess.