In order to get this, you must upgrade a robot's max health to the maximum value for a specific tournament. What this means is that each tournament, from 1-8, gives the ability to purchase upgrades to a robot's max health up to a certain value based on the tournament you are in. This achievement requires you to purchase up to that maximum value within that specific tournament. It does NOT count if you reach the number for a previous tournament's maximum in a later tournament. This locks you out of getting the achievement in the previous tournament on that robot as well, so be aware of this. The easiest way to go about it is to just play through tournament 1 or 2 until you purchase every health upgrade available in that tournament, which only take 2-3 runs.