Tough to tell with that ruler scale.
Try measuring side-to-side across the largest diameter of the hole.
As is, an ESTIMATED 1.5-mm = ~0.6-inches.
The internal threads look too fine to be a pipe thread. May be a larger fine-threaded metric bolt.
Find another bolt / plug on the machine as you mentioned that will fit and then use that to go find a replacement. Or take your measuring tape and the photo and go on a shopping spree.
Don't get too rough with testing an unknown plug as may ruin the existing internal threads. If you have to use a wrench it may not be the correct thread. Clean the threads well on both the machine and the proposed replacment then try screwing in manually. If it's correct, it should go easily.
Please post back your experiences so we may all learn.