I didn't know LaserWeb3. In any case, whatever the way and the software used to generate the gcode, it must be sent to the machine with the usual control software (Repetier for me) or simply also by SD card.
I haven't yet succeeded to use the TTL control but with the control of fans the power can be adjusted (min: M106 S1 / max M106 S255, on the 12V drive). Even if it works this way, I still have to study to use the TTL command. I also think that we could get more of the laser.