Many people do that (bellows open and close) because some bellows folds stick together. (It's a result of bad application of glue when bellows tape was renewed, and very hard to fix afterwards.
Don't know if it would work here, but I've fixed "permanently" sticky places on non-accordion things where applied glue or glue from tape has extruded from where it should have stayed. I apply a tiny dusting of powder to the surface of the sticky part which effectively makes it non-sticky, rub it into the adhesive, then brush off the excess.
The biggest problem with this method might be to find the right color powder or combination of colors. In one of my woodturning supply cabinets I keep a supply of different colored powdered substances intended to be glued into grooves or other detail on the wood surface. These range from plastics and ground rock in various colors to metals (like brass, aluminum, copper, etc)
(A gentle surface application of Renaissance Wax might also work but I haven't tried that yet.)
What I don't know is how to acquire a tiny quantity of the right color that would be unnoticeable on the edges of bellows tape. Buying a container of each could be expensive and most would be wasted. If one knows someone who does woodturning or colored inlays into wood or other materials, a visit might result in a bit of something that would match nicely.
Just for fun, not of a sticky fix, but of what we can do with such powders is a goblet I made with a powdered brass metal ring inlay.

(In case anyone wonders, the little lidded box in this photo is an example of making decorative and functional metal feet and finial for a small lidded box, in this case turned on the wood lathe from solid brass rod using woodturning tools, polished, then epoxied into tiny mortises. If anyone in my area is interested in learning how to do such things, my only fee is a good story or a good joke! - I've even occasionally had people travel from out of state for such instruction.)
JKJ