yep, if you ever get air before the ABS module, you'll need to use the mazda MMDS system to modulate the pump & get the air out. Getting air after the ABS module like replacing the flex lines or disconnecting the calipers, you can do a normal bleed.
for the folka who dont want to visit the dealer or fork out for it,the yanks often suggest finding a gravel area and jamming the brakes on to trip the ABS. then bleed and repeat until satisfied.
pressure bleeding can ruin seals if done incorrectly. id say because the master cyl was replaced, theres the bulk of the reason. may i ask why it was replaced? leaking? check all unions are done up tight too and ensure the baffled reservoir is actually full.
bleeding the clutch is a lot easier with a vacuum bleeder