I don't believe anyone on this group is gonna have the actual answer 🙁
I would imagine you'd file an TM28 <-change of address, and then the TM30 <- notification of foreigner in residence and need what ever documentation they require.
You can't be the first foreigner who lives in a place rented by his thai wife 😉 Have her call and ask them.
Sometimes the answer is call the immigration office and ask 😮
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