Thanks to the people who posted such useful information. Yes, according to the listing you should get 45003 for the 2937 case, but you can also use 15004 which is not mentioned but looks a little better/correct for your watch.
069SX45003 for the gold plated crown and 069ST45003 for the steel one.
One more link:
https://omegaforums.net/threads/omega-seamaster-2938-2-a-recent-purchase.168801/