Actually, BB is based upon a size chart for shot, typically used in shotgun shells. Sizes range from 0000 "Quadruple Ought" buckshot down to 'dust'. The original size BB was nominally 0.180 inch diameter, but the BB size for air guns was refined to 0.177 inch diameter.
Jeez 73FJ40, you realize that you just set a bunch of kids to worrying over whether the BB on their flywheel is exactly .180" or some other size don't you?
Popping in the exhaust could mean a lean burn, or mean nothing, or burnt exhaust valves, or incorrectly adjusted too tight exhaust valve clearances, or mean nothing.
Warm engine means at operating temperature not that it was started up and run a few minutes. Easy to make tight valves if adjusting when not at operating temperature.