So I opened it up, and sure enough it's got a full in BMS in there :(
I measured the cell voltages before charging it (it was at around 50% charge state at this point):
(lowest 3.666, highest 3.775)
3.775, 3.775, 3.770, 3.770, 3.774, 3.769, 3.774, 3.666, 3.773, 3.770
I then charged on my...