Having an AD or watch shop do it would be a lot easier.
But, if you take your time, pretty much anyone can resize an Omega bracelet.
I had similar tools to the OP and spent quite a bit of time taking 3 links out of my Speedy bracelet.
Quite an involved process getting the bracelet off of the watch and getting those little pins out of the links.
I was happy with the resulting length of the bracelet, fitting nicely on my left wrist.
Then, I noticed the clasp underneath my wrist wasn't centered. It just didn't feel right.
I had made the classic mistake of taking all of the links out on just one side of the clasp.
So, that meant completely re-doing it again, moving one link from one side of the clasp to the other side.
Lots of re-work but it was worth it to get the bracelet "just right".
For people like me with little to no watch skills, the trick is to be careful, don't be in any rush to get the job done, have the right tools, and work in a well-lit area where you can't lose any of those small pins or links.
Also, I discovered I needed to take a break and "rest my eyes" a few times.
I can't imagine what it's like to work as a watch repair person all day long.
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