It's fixable !!! That's the main thing
The problem - well the adhesive on the PROPER 3M tape is extremely strong, to the point of destruction of MDF and pulling open of the braid itself.
It is used in extreme temperature situations commercially, and your swing would not affect it
So your problem has not occurred simply because of temperature changes.
I know of 3 possible other contributing causes
1) Insufficient cleaning of the braid spinning oils - or use of an unsuitable solvent which itself left a surface film
2) Insufficient pressure on braid to tape per square cm when laying it
3) Cleaning solution such as braid cleaners or a solvent track cleaner seeping onto the adhesive.
The other possibility is that you were sold the wrong 3M tape. The one which has been sold in USA for many years for this use is formula 9472.
I have tested 3 other formulas of the 3M tape, including 9471 and 9473, trying to find a cheaper solution; but none of them hold anywhere as well as 9472.
I have also imported 4 versions of "VHB" 3M tape made in for attaching cellphone screens of unknown formula number, and it was all utterly useless.
But seeing how your braid is showing signs of lifting - peeling inwards; it appears it may also have been laid "too tight" - I always recommend that people lay it very loosely, especially as they lay it into the curves.
The repair. If you don't want to lift and re-lay the entire length, or to have to cut the braid and partially re-lay; I suggest you look at a tacky contact adhesive
I don't know what the equivalent is in your part of the blue ball, but this is what we use
CRC Ados F2
Below zero to over 40 C is wider temperature range than I have experience of with contact ahdhesive, but a small tube on some of it, is a low cost solution to trial
It ideally requires laying two beads, on on each working surface, leaving them to "tack" which will take 30 seconds to 5 minutes depending upon ambient temperature, then pressing together.
Nasty, messy tacky stuff to work with, but does a good job. It won't be hurt by temperature changes.
Once set, it is impervious to most solvents - utter sod to get off exposed surfaces............. and fingers..............
If you do decide to re-lay the braid.
Here's my
Braid laying primer