I don't have invisibility memorized. Plus, she's acting a little sketchy; I think leaving her alone and invisible means -POOF-.
Is she able to walk? Then I say we bring her with us. If not, I vote two of us go to get TK, and two stay behind with Princess Pretty. Is KT's spiderbot too conspicuous on the streets? If not, I say he and I go to the 'Mada, and Dag and Az stay back.