Welcome to the forum simon92g. It’s unlikely I’ll ever write a different language as well as you use English and you write better than some of the locals. We’re glad to have you as a member and this gives you another place to practice writing English.
Assuming the 629 functions single action the trigger stop is allowing the hammer to rotate back further than it does in double action so I don’t think a too long trigger stop could be the problem.
The “rattle” you’re hearing while shaking the revolver could be the hammer block as well as the trigger stop pin. In either case you need only stop shaking the revolver next to your ear.
I would mark a chamber with felt pen and test to see if the resistance at the end of the double action pull always occurs at the same chamber(s). If it does that eliminates all of the internal parts except for the hand thickness.
I suspect the most likely problem is the hand binding between the frame and one or more ratchets because you wrote the DA resistance occurs near the end of the double action pull. DA resistance from a bent yoke or zero flash gap does not necessarily occur at the end of the DA pull and you wrote the 629 is in like new condition.
Even though your 629 appears to be as NIB you may as well look for drag marks on the front of the cylinder. Usually only a chamber or two will drag on the barrel after wear from lot of firing creates end shake.
Also while holding the revolver and its open yoke on a table with the ejector rod visually aligned with a straight line spin the cylinder and look for ejector rod wobble. Too much run out can be a clue the yoke is bent. Sometimes other wise NIB revolvers get bent yokes from owners flipping their cylinders shut with a twist of the wrist Hollywood style.
Finally, remember your 629 is new enough to be covered by S&W’s lifetime warranty even if you are not its first owner. I don’t know how the international border affects this, but within the U.S. S&W usually mails owners a prepaid shipping label to send guns in for warrant repair so the repair costs nothing.