I don’t know if this helps, but some time ago I had some popping/clicking noises in an exported file and found it was where I had joined 2 clips together, but didn’t have them exactly next to each other - there were one or two blank frames separating them. I got rid of the blank space and the audio problem was fixed.
Of course if the bleep occurs immediately after you have split the tracks and not moved either of them this probably won’t help.