Team GO Rocket Guides
First Pokémon
Drowzee is weak to Bug, Dark, and Ghost. Steel-types resist both of Drowzee's fast moves. Ghosts resist Pound, and Darks resist Confusion. Note that, while Gengar is extremely powerful, you do not want to use it vs Confusion, as Gengar's poison subtyping will get it almost instantly KO'd.
Second Pokémon
Blaziken is incredibly glassy. which is good! It also hits really hard, which is bad. As always, resistances are more important than damage.
Lapras is a thicc dude, and not a lot of Pokémon resist both Water and Ice (that can also actually hit Lapras). Don't feel bad about backing out once you see what fast move it's running.
It doesn't get much glassier than Sharpedo, but you will take damage. Bug, Grass, Fighting, Electric, and Fairy are your picks here.
Third Pokémon
Houndoom is weak to Fighting, Ground, Rock, and Water. Tyranitar and Terrakion resist both fast moves, and hit for Super Effective with Smack Down + Stone Edge/Rock Slide, making them very strong choices. Other than that, pick based on Houndoom’s fast move! If it’s Snarl, bring out Machamp/Conkeldurr/Lucario. If it’s Fire Fang, then Swampert/Kyogre/Gyarados are your safest picks.
Shiftry has an incredible multitude of weaknesses. Fairy, Fighting, Fire, Flying, Ice, and Poison, and that's not even mentioning the double weakness to Bug. You've got options.
Nidoqueen's weak to Ground, Ice, Psychic, and Water. Like with Nidoran in the first slot, you do risk taking SE from Bite if you bring a Psychic-type counter, so keep that in mind.