Wall World

Cumulative. This requires you to acquire all upgrades from the hub between runs. This will require a decent amount of grinding of both currency (acquired from mining any block, stronger blocks = more experience) and blueprints, which spawn randomly throughout a run in, generally, the upper-right corner of a cave. Some caves will have upgrades, some weapons, some blueprints and some will have nothing.

I'd recommend playing the game as normal and worrying about this after defeating the final boss so you no longer have a time limit and can max out your mining speed and check every cave.