Levels
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Temple DONE
* monk and tea
-> temple grounds

Temple grounds  DONE
* leaving temple
-> road
-> temple

Road DONE
* distract samurai
* damage cart
-> temple grounds
-> town

Town DONE
-> theatre
-> tea house
-> market
-> celestial plane (unlocks later)

Geisha's rooms DONE
* Embarrass geisha
-> tea house

Theatre DONE
* No play
-> town

Market DONE
* Maneki neko
-> Fishmonger's house

Fishmonger's house DONE
* Fishmonger
* Fish for geisha
-> market

Tea house DONE
* Business deal
-> geisha's rooms
-> town

Celestial plane DONE
* fight kitsune

(Maybe add more intermediate levels later)
* Theatre and backstage?
* Gauntlet of nasty oni before the kitsune room?