I did that today, blew just as hard out the other end as it was coming out the compressor.
Just to make sure.. you should blow the air backwards. It something is lodged it's most likely lodged going forward and air going forward won't necessarily help.
The other thing you can try is drilling out the fitting on the pump. There is a lot of extra brass on that fitting and it can be hollowed out a bit if you're careful. You can bore almost a millimeter off that fitting but don't quote me on the bore as I'm just going on memory.
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