I think you are misreading this sentence.
“With flaps HALF or FULL, the takeoff trim button should be pressed until the TRIM advisory appears and then the horizontal stabilator trim should be manually positioned for CG location, excess end airspeed and power setting for launch.”
I don’t believe this indicates the flap setting for “takeoff” can be HALF or FULL. This indicates the flap setting must be in the HALF or FULL positio for the T/O Trim function to operate properly.
I can find nothing in the NATOPS or the Performance Manual indicating FULL Flaps is allowed or approximate for Takeoff.