Not sure what’s happening to comments. The length of a month is NOT based on any gematria. I’ve never heard of the gematria you cite, but I can almost guarantee it is no more than 300 years old, and I doubt it’s more than 100 years old. It was made up after the event, and made to fit.
The length of the month goes back at least to the gemara and possibly earlier. We’re told it’s halacha lemoshe misinai, but not all HLMMs are actually that old; there are some that are clearly post-Moshe, so the mere fact that this is called that doesn’t prove it’s really 3300 years old. But whether it was revealed to Moshe at Sinai, or calculated by Chazal based on the Greek and Babylonian astronomers, it was definitely not derived from any gematria.