Flying in MIA-MEX on AA business- are there any fast pass ways past immigrations flying business or global entry?

Also- return is a 1240 pm flight MEX-MIA AA business. We will be staying at the courtyard at the airport since I read about traffic. How early should we arrive? we will have access to the admirals' club and have priority pass- any ideas of lunch/breakfast? Will be flying with teens. I thought I read some PP lounges offer massages, manicures- popcorn? thank you!