--[X] Spend 3 training on getting an armor piercing Rote (or in not avelibe armor damaging).
So, to be clear from an expectation management perspective, stuff that just ignores armour isn't gonna usually do
too much more damage than your current options that do that unless it has specific restrictions (like the maneuver the Norseman used to stab Audrey in the face, which required grappling). And a general request like this isn't gonna get something with restrictions like that (see below). A lot of these would also not ignore Hama, depending on the exact mechanism.
Now, in terms of stuff that
damages armour, those Rotes might in theory do a bit more to armour than GKB does, but probably not a lot more (40 instead of 30 maybe)...the big advantage there would be that something like that could be a lot cheaper, though their actual damage number is probably not much higher than their damage to armour. Like a decently inexpensive attack that does 30-40 Damage, all of which applies to armour, is the sort of thing you could expect if aiming for a generic version of that. It would also not, by default, apply to Hama.
However, the biggest thing here is that more specificity on what you want would be nice...this is two whole different categories of Rote. You should probably narrow it down to at least one, and the more detail about what you want it to do, the better honestly. Not in terms of specific mechanics but, like, thematically. What is this Rote intended to be used for? What restrictions are you willing to put on it? How expensive do you envision it?
Like, GKB technically meets the requirements of this prompt as does Limb-Breaking Hold. Those are very different Rotes. Something to clarify what you want a bit more would be nice.
"A cheap rote that does extra to armour, in order to work through armour before using GKB" is a much more informative statement, as is "A way to do as much pure damage ignoring armour and Hama as possible, price and restrictions are no object". Just as a couple of examples of what I'm talking about.