I just went out and did that test. Only took 2 or 3 pumps to get the brakes solid and then when I start it up the pedal goes down about an inch.

I have a Motive brake bleeder that you put fluid in and then pump up to ~15# or so. This keeps the cylinder full and under pressure while bleeding. Then I go open one bleeder at a time and pump the breaks until all the air is out, or the new color fluid starts coming out clear. This has worked excellent for me the last two times plus on my truck and on my daughters Mazda.