My pre-ride thumb check showed a flat rear tire on Mary’s Tour Easy:

So we fetched groceries with the car.
As usual, no tire armor can withstand a glass blade:

It’s a bit over 5 mm from the knife edge to the ground-flat end, just long enough to punch through a rather well-worn Schwalbe Marathon Plus tire and poke a slow leak in the tube.
The tire has covered enough miles to wear the tread down to maybe half a millimeter over the blue armor layer:

Time for a new tire!
For the record, the odometer is just shy of 35 k miles and she rides about 1500 miles a year; somewhat less over the last year for reasons not relevant here. As best I can tell, the tire has been on there for about five years and 7000 miles.