Just measured a Rema patch kit. 7cm by 3.5cm by 2cm. For the metrically challenged that is 2.8" by 1.4" by 0.8". A bit over 3 cubic inches.
Use tires you can get off the rim. Preferably without needing tools. If more than one tire lever is required you are punishing yourself. If removing the tire requires force, sweating, cursing, you won't have the mental clarity to find the hole. Wider rim and wider tire works better in most cases.
If you just can't carry a frame pump (some bikes do make that improbable) try the Barbieri Nana or Nuda pumps. The Nana is the size of a large pen. Yes, you won't likely get over 50psi. If that doesn't get you home you should be riding wider tires.
So far calendar 2022 I've covered 4000 miles and had one flat. Last year had two flats. Perhaps if continuous flats are plaguing you there is a reason. Riding unpaved on skinny tires, riding in thorn country, yeah, you could have problems. Redundant layers of armor are not the solution.
Energy bar wrappers or any similar packaging material make excellent boot patches. Use the whole thing bead to bead.