Octave Pip Placement / Alteration Help

I have an issue with G# just above the Staff on Tenor. When I jump to it from anything in the Palm keys it cracks the harmonic.

I am certain that it has to do with the fact that it is the 1st note to be played using the Body's octave Pip - and thus being the one furthest from a perfect acoustic placement of that peticular pip.

Now, I can solve the issue by voicing it differently, however I was wondering if anybody had a mechanical solution to this issue.

The obvious one is to move the pip -and... um..... I dont see that happening anytime soon.

Who has other ideas or proven solutions?

Thanks,
Charlie