*Novice not allowed*
Change the lives to 4 in the game settings to make this easier. You should keep in mind some details about type 3:
Very spread-out shot.
Powerful Phantom mode.
With this in mind, type 3 is very powerful and quickly kills bosses so you should always make sure you have plenty phantom energy for the bosses. Type 3 also has a very spread shot which allows you to kill multiple weak enemies quickly and efficiently. To further improve the chances of unlocking this, you should learn enemy placements and bullet patterns. Remember also that the option can be moved manually.