I remember coming of work one noon to go home for lunch and there was a 12 penny nail stuck in the sidewall of my VW tire. I just drove it the 3 miles home, changed the tire, had lunch and back to work. Never did figure out how that happened but sometimes as long as you don’t pull the nail out, you’ll just have a slow leak.
That fits the M.O. of a small nail/screw firmly embedded, enough so to not allow much out but some, enough for you to notice, hopefully not when accelerating into a curve when it could mean more trouble.
Someone needs to over-inflate it within safe limits & drown it in a tub/swimming pool with grease marker/other handy to mark the spot, else never to find it again w/o getting wet.
Then tire comes off, pliers pull out the whatever, plug/patch interior, good to go.
That said, I eventually took this event as an omen that I have been avoiding new tires way too long, even though they might have enough tread left to pass inspection, even in Texas. New tires always meant years of care free no flats … if I can avoid construction sites.
I shop tirerack .com & then have someone local install/balance & see if alignment is required.
I once had this problem and it wound up to be the rims, what happened some of these rims are chrome coated and they chip off inside the rim sealing edge and the fix was to repetitively go back to a tire place or gas station repair shop and have them grind off the chrome on the inside edge of the rim and then also replace all 4 valve stems for extra measure , it finally stopped my tires from having leaks and different
pressure readings .