You can actually leave the tower, you just need to walk past Angie instead of getting into position on her battlefield.
First you'll probably want to melt the Ice on her Field away; check the field effects .txt in your Rejuv folder to see which attacks work for that. There's another Field below the Ice one, so check if you can change or abuse that one as well. Changing the weather would be useful as well, since iirc the hail brings back her Ice field after some turns.
Your Pokémon have pretty bad coverage. There's rarely any point in having more than two attacks of the same Type on one Pokémon; usually only when those two attacks have very different uses. I forgot if that's already available at this point but Sheridan has a move relearner that your team would benefit a lot from. Definitely look through your TMs for anything useful though; Brick Break in particular will break A-Ninetales's Aurora Veil.
Your Lycanroc is the worst offender; it's probably fine for this battle but eventually you'll want to replace Rock Climb and one of Rock Slide or Stone Edge for Crunch and Brick Break. Accelerock is fine to keep since it has priority.
Which Abilities do your Pokémon have? Gale Wings for Talonflame, Volt Absorb for Manectric and Sniper for Drapion should be their best options. Mightyena can run either Intimidate to weaken specific enemies or Moxie for Sucker Punch sweeps.