Escape rope is a pretty good option
Or a Pokemon with the move dig.
Or faint all you team's Pokemon.
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Mewtwo lives in cryptic cave, you can get Cryptic cave from wigglytuff in the Pokemon square.
if can go to cerulean cave you can
go to the cave that only the Pokemon master can come in to. in their u find mewtwo
You can't
i think you don't , in blue u find sableye in the cave near the 2nd gym, and the cave before elite 4