I'm looking to get a frame and Blackburn frame pump powdercoated, but I can't seem to get the pump fully disassembled.

I can get the head removed, have pushed the plunger all the way up and unscrewed the piston, but now I can't figure out the trick to get the T-handle and spring handle removed.

Has anyone ever fully disassembled one of these down to the bare aluminum tube? What's the trick?