I did not know there could be an issue such as this with 12.68 crowns, but I have indeed learned over time that 1940s Longines calibers had multiple variants.
For example an 8.68 caliber can have several types of balances, several lengths of balance staffs, the balances can have triangular stubs or rounded stubs and so forth. Drives my watchmaker crazy, he says Longines kept modifying its calibers.
It sounds like what you're experiencing.
My best suggestion would be to try and get a donor with a serial number close to yours, and where the movement looks like it has similar finishes.
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