How old is your newer version 1377? Is it made in U.S.A. with ''globally sourced parts'', or maybe made in China?My guess is too loose machining tolerances, when it starts to have a certain amount of pressure the gun sorta ''twist'' and allows the sear to let go. I may be wrong though.Have you tried not cocking before pumping? If so, what happens?Have you checked if all the screws are tight?
This made me want to check my new 1322. Not doing what the OP described BUT....I put a couple pumps in it and load a pellet, then pull trigger while holding bolt handle and ease the bolt forward to "decock" it.Found in this position it will fire even with safety on. Can push the bolt forward a little more and seat it and it won't fire.My older a few years 1377 does not do this but it has a BAKER aluminum breech on it
it says 1377 classic on the box. all black color including bolt. the foregrip has the deep groove on each side. Made in China on metal frame Tested it BY pumping first, safety on, then cocking. Its ok. I was told to cock first then pump, it's safer and better for these guns.