My slave cylinder broke a few days ago during a roadtrip (about 2,000 miles from home).
Luckily, I was parked, not in traffic. I found a parts store within walking distance that had it in stock for $60.
Bleeding it was a breeze... I simply pressed the pedal many times with the master cyl's cap off until there were no more bubbles getting out (I had a helper looking at the master cyl's reservoir for that). Then I put the cap back on it and it was working perfectly.
Might not be exactly the same for you though, as you have the Mazda tranny and I the ZF one.
I wish you a job as easy as mine... but still I doubt it's going to be a "nightmare".
Good luck