This could perhaps just as well be asked in the general Help and Support section because Opus 12 seems to behave the same way. I'm asking here om case the answer is different for Opus 13.
Is it possible to suppress only the tooltip for the Go Up button on the location bar?
You can edit the button but do not remove the tooltip altogether. Instead, leave at least one blank space in the description. If the description is blank, it will still display "Go to Go Up" underneath Go Up.
I don't think you can clear it completely, as parts of the tooltip are added automatically, even if the description is blank or a space. The description is added to the tooltip, but not the only thing in it.
I think you can only turn off toolbar tooltips entirely to get rid of it at the moment.
Please refer to my comment in item 2 of this thread. At least for me in DO13, at least a single space in the description field blanks the description and you see only "Go Up." Perhaps, this closer, if not precisely, what the OP wanted.