Small straight pin
You wouldn’t think that a straight pin and your tires can be friends.
A small straight pin is very useful for digging bits of glass, wire, stone, or other debris out of the tires. I will use it when I find something embedded in the outside of the tire, and will use it to poke around a bit inside the tire when changing a flat, to make sure that the debris is completely gone.
I stick one into an out-of-the-way place on my utility bag (where it won’t do harm to anything inside the bag) or on the hook & loop strap holding the bag to my seat so it is handy.
I never thought of that…. but I do see the logic.