1. Train your Pokémon to at least level 12-14. Bugsy's Pokémon are all between levels 12-14, so you'll need your team to be at a similar level to stand a chance.
2. Make sure your team has at least one Pokémon with a Fire-, Flying-, or Rock-type move. These types of moves are super effective against Bug-type Pokémon, which are what Bugsy specializes in.
3. Consider bringing a Pokémon with the ability "Levitate". This ability makes a Pokémon immune to Ground-type moves, which can be helpful against Bugsy's Scyther.
4. Stock up on potions and revives. You may take some damage in this battle, so it's important to have plenty of healing items on hand.
5. Start the battle by sending out a Pokémon with a type advantage against Bugsy's first Pokémon. For example, if Bugsy starts with Metapod, you could send out a Pokémon with a Fire-type move.
6. Use your super effective moves to take down Bugsy's Pokémon. Be sure to use your strongest attacks and don't be afraid to use potions and revives if necessary.
7. Once you've defeated Bugsy's three Pokémon, you'll win the battle and earn the Hive Badge. This badge will allow you to use Rock Smash outside of battle, and it will also increase the obedience of your Pokémon.