It's no gacha don't worry.
I had originally tested with Catdam and 3 meatshields but got overrun by the Gory waves. Four meatshields are recommended and Ururun worked much better.
Stall with Drone until max money. Then, start bringing out all your attackers and meatshield as you approach the base. When the base is hit, Professor A appears along with Beefcake cat (another will spawn later) along with a wave of Brollows. Make sure to cat cannon early so that the Brollows don't hit your attackers. There are also waves of Angelic and Black Gories which spawn for quite a while. Continue spawning Drone and your other attackers to take out the Gories and slowly kill the Beefcakes. When the Gories stop spawning you most likely won. Once both Beefcakes have been killed, slowly take out Professor A with Manic Legs and Dragons.
Basics are Lv20+70
Manics are Lv40
Specials are Lv30
Drone - Lv36