The current Mini Amp Gizmos need 260mA if all of their switches are turned on, and about 10mA less for each switch you turn off. The Pedal Power 2 Plus, using one of the Line 6 outputs, is just enough to power it as long as you don't have to turn on all 8 switches at one time. This is typically fine because most amps use 2 or more buttons for channel selection, and only one channel selection button will be on at a time.
You can use one of the other Pedal Power models, but you have to use one of the 400mA outputs to power it. With 400mA of current, there are no limitations to how many buttons you can turn on at one time.