Jim.
Assuming you have done your sums and applied Ohms law the 4 amp flexmod and a 24 volt psu you should draw approx 0.125 amp at 3 watts easily coped with by the unit.
Are you sure the flexmod P3 has switching capabilities?
Are you using Aerduino?
I haven't done a laser conversion nor do I want to but am interested in others results.
I can't help with Mach3 either, they are a bunch of tossers only interested in flogging what they have now and not developing to meet future needs.
Their software will fail when M$ withdraw support for win7 32 bit unless they do something now, I have fallen out with them big time over this as a win 10 tester.
Development of drivers is required, blaming M$ is not good enough, nothing has been removed just moved and I showed them where it was moved to and they refuse to act.
Switch to Linuxcnc if you want to progress.
Back to flexmod P3 have a look here if you haven't already.
CNC Laser for Printing Images and Engraving - Shapeoko 2 based : Setup the Laser Driver (FlexMod P3)...
And this may also help.
https://www.youtube.com/watch?v=kxXQ4d9owMs