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Maybe after you beat champ
there is time skip
short time skip
where you take a break back home
after time skip
Sequoia is now Professor
Mangrove retired to postgameislands
Your outfit/OW outfit change
and your friendly rival is at the postgame islands
waiting at the top of some mountain or someplace ala Red in their new outfit and super tough team(not as tough as Red though, cause you know just a friendly rival but their post-game team)