After tagging someone with a brainer's implant syringe, any instance of harm dealt by a brainer move deals more harm. It is not +1-brainer-move-harm forward. Think of it like, until they are no longer tagged– the effect continues. Likewise, they do not suffer any more harm until they have been tagged by the implant syringe. So just because a brainer has the toy, doesn't men the toy works in the background, to tag someone, he must tag them. (probably by strapping them down to the table and implanting the thing into their head)
With In-Brain Puppet Strings whenever you deal harm to them, increase it by one. On a miss, when you deal 1-harm ap, now it is 2-harm ap. On a hit, when you drop hold to do harm, each time it is 2-harm ap.