Really, at issue here is the technical experience of the OP.
For many, merely unblocking the bass after receiving a new accordion is an exercise in severe apprehension- if not terror.
Given the "A" is either in the bass row (five waving rows of pistons back as seen from the inside) or the counterbass- sixth row back...- many a novice might really be nervous about working a soldering iron or really long nosed pliers in there to hold the piston.
Many pistons are pretty flimsy to lateral forces (saving weight): just not that sturdy. Working them around by torqueing the bass button without a firm grip just below the button platform to ensure the stress doesn't affect the length of the piston could easily ruin a piston for someone who doesn't have a feel for it.
No insult here- just a question of what one is familiar with.
Really, the simplest and least likely to break something option is to get a replacement button that matches in diameter and color- probably pretty easy- and having same on hand simply remove the old button by gently wiggling, twisting, and pulling- and failing that just crushing it with a few good squeezes of a slip joint plier; first one way then rotate 90 degrees and crush again,(that's change the angle you approach the button from by 90 degrees- not twist the button at all with the pliers). It'll come out easily in pieces.
Fit the new one and if it is too loose, a dab of glue of choice - truly almost any adhesive ought to do (though how the Gorilla glue isn't just as synthetic as synthetic can be gets me) - and... voila.
So:
-bite the bullet and live with it,
-try the gently wiggle and pull, or crush option,
-push the limits and venture into working carefully through the waving ranks of pistons (DO NOT TAKE THE BASS APART unless you're willing to really go whole hog on learning),
-simply track down an accordion shop- a difficult thing in many locales and probably pretty pricey. You are paying for not only the shop overhead and time but also the experience of the tech.
Good luck- I still figure you can do this.
(Sorry for what are probably numerous typos)