It is kinda too late to chime in, but I do not think your old bangle was bleached aka type B. I said so because none of the type jade bangles I experimented on could withstand a drop from 1.3 meter to WOOD floor (they cracked). And on concrete or tile, they shattered. I (none of them cost more than $75). That is to say bleaching with acid severely will destroy the stone so much that it becomes brittle. However, looking at your old bangle surface with many orange peel patches, I feel that it was hand cut and polished without using high grade abrasive. Jade cutters probably skipped that part and used hot wax dipping to bring out the luster of this jade. At the same time, they might add color agents to the stone and polish it with wax. Over time, when the wax came off, it took the color (lavender) with it. I have one jade bangle with that exact luster of your old one but I have no clue what it used to look like because I’m not the original owner. Anyway, I liked the soft satin finish on certain jadeite pieces and that’s why I bought it. I had to rewax with parafin wax by hand for 1 hour and each time it would last about a year (never a swimmer so not sure if the wax can hold up for a year under that harsh usage). And I always shower with jade jewelry. You may be able to glue 2 out of those 3 pieces together and drill a hold on each end to make a “clasp/hinge” bracelet-the third piece can be capped on with a bail and used as a new pendant. It does take a jeweler to do so but if it means a lot to you, it will be worth it.