tire and tube....
I don't. While it would be nice to have all kind of spares, the weight and expense adds up.
I do carry a few tools and a spare spark plug, some gasket material, a little bit of electrical supplys, but that's about it. Tires and tubes are low on my list of expected problems.
I can recall one situation in the last five years where an crew would have benefited from carrying a spare tire and tube. It was a backcountry strip, a Cessna trike, and as I recall two guys in the front seats. Blew the tire and the tube when landing. They had friends fly in new parts.
My vote is for prevention. Make sure the air pressure is in spec and you aren't subjecting the nose gear to much stress (if so equiped). Keeping farther to the rear of the CG envelope will help unload the weaker nosegear, probably overall a good thing, but especially so on rough strips.
Main tire in the backcountry? Find/or make a lever and fulcrum. Use the lever and some rope (clove hitch or pruisk knot on the gear leg so the rope stays down near the axle). Hope I don't have to actually figure that out.
But then, I'm not carrying the tube and tire anyway, so I suppose I'd end up asking for a the appropriate tools as well.