Zip learned to loop-the-loop before she learned to walk, and she has never once landed quietly. She treats every battle like an air show and every enemy like a slightly rude audience.
Zip's air units hit 20% harder, so don't trade with them head-on. The usual answers are Missiles, Anti-Air and Cruiser.
Zip's ground units deal 10% less damage, so even trades go your way.
Zip's air units shrug off 9% of incoming damage: focus fire on one at a time.
Finish off Zip's damaged units before the meter fills: the power heals them back up.
Every hit Zip's units take fills their power meter, so strike hard in one turn instead of chipping away. When the meter is full, pull fragile units back.