Right on both counts - it is a 3v3 reg and no resistors, only capacitors. At least according to the schematic for the product, which can be downloaded (.sch) from this page.I think that IC is a 3.3V regulator. This allows you to feed 5V into 'Vin', or 3.3V into '3V'.
The amplifier circuit you show is described as 'external gain' meaning not on the microphone board.
Also there are no resistors on the board, only capacitors.
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