My team:

Squirtle (Basic, Water type)
Primeape (Final, Fighting type)
Venusaur (Final, Grass/Poison type)

The battle! Round One!

Cubone (Basic, Ground type) vs Squirtle (Basic, Water type)
Squirtle is super effective. Squirtle wins.

Round Two!

Geodude (Basic, Rock/Ground type) vs Primeape (Final, Fighting type)
Primeape is super effective and evolved. Primeape wins.

Round Three!

Onix (Final, Rock/Ground type) vs Venusaur (Final, Grass/Poison type)
Venusaur is super effective. Venusaur wins.

Final outcome: I win!