it's the badge from crasher wake
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The 5th Badge is Soul Badge, That is given by Koga in Fucshia City. It allows you to use HM03 (Surf) Good Luck! ^^
Hearthome's badge
After you get the Balance Badge (Norman) talk to Wally's dad and he will give you surf
In Pokemon Red, the fifth badge is possessed by the Poison-Type Koga. The badge is named Soul Badge. It lets you use Surf outside of Battle.
In Pokemon FireRed, the badge needed to surf is the Cascade Badge. This badge is obtained by defeating Misty, the Cerulean City Gym Leader. Once you have the Cascade Badge, you can use the move Surf outside of battle to navigate bodies of water and access new areas in the game.