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Only after Ratchet had won the Electrolyzer as a prize in one of the arena fights was he able to activate two energy bridges:
The first bridge connected an island where there was a teleporter that allowed Ratchet to enter the arena with another island where there was a photo booth where tourists could take a souvenir picture.
The second bridge connected the island where the photo booth was with the Resort's landing pad.
After activating both bridges using the Electrolyzer, Ratchet could go to the arena much more directly every time he returned to the Resort.