For that antenna it uses 2.8V~5.0V at ≤20ma
In the schematic for HTCC-AB02S V1.1the E2 U.FL antenna socket it directly wired to C48 470pF cap that feeds a MAX2659 LNA (low noise amplifier) with 20.5db gain. There is no supply voltage for an active antenna, to use one you would have to build a circuit board that the antenna plugs into and feed it voltage then have a connection to the HTCC-AB02S through a matching network but how that would affect the MAX2659 is not known. The MAX2659 uses 1.6V~3.6V at 4.1ma and has a shutdown mode to save power. I have several active and many standard GPS antennas I’ll try if I can get the G12 part to work, as it stands the example software can not get connected to the serial port at any baud.