My understanding is that the 'bump' is used when the basic maximum takeoff thrust does not provide the required T.O performance.
There is no intermediate thrust between the basic maximum takeoff thrust and the 'bump'. So if the calculation were for what is nominally full power (for that airfield and temp). The 'bump' will give the extra thrust by a rescheduled increase in fuel and corresponding increase in n1 speed. (thrust!)
TopTup. The B1L1 will refer to a certain change(s) (over original) spec. Possibly an engine could come as for instance a -115b and after overhaul or modification the part number effectively changes to reflect those changes.