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It may swing the other way over time. My 3861 speedy was about +3 seconds over a week when I first got it. I recently recorded its accuracy after having it for 1 year and it now losses something similar to that over 1 week.
As others have said, -2 seconds per day for a mechanical watch is nothing. Enjoy your beautiful new watch and forget about the 2 seconds/day
Don't bother with a winder if wearing daily.
I have a PO 8900 and it can gain 10secs/week resting face up at night and loose 5-10/week resting crown up at night. I have found a balance of each and now is almost spot on. It's mechanical, don't worry about it, wear and enjoy.
If you wear it every day, don’t put it on the watch winder. There’s no need. Lay it dial up overnight and see if the timing changes.
You may find this thread useful
https://omegaforums.net/threads/timing-tolerances-a-guide-to-understand-how-they-work.87293/