Lot of cool little hacks in this thread.
Since I was unfamiliar with Damasko's bracelet, the one you own like this one, AKA a butterfly / dual deployant?
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I had a watch with a similar one and could never get a good fit. Ended up installing a
Strapcode safety deployant clasp (they call them Diver's clasps) to replace the butterfly one and it worked great because it had the three-hole microadjust. Just make sure you get one that can fit around the outside of your links, width-wise. I can't confirm this, but I'd assume you could just use the spring bars that come with the clasp in place of the screws from the bracelet.
Here's mine if it helps.
Original:
New diver's clasp: