She’s taking home the mermaid crown.

A fearless Gotham native is set to stroke across the English Channel’s 21 miles of treacherous, shark-inhabited waters this week — becoming the first woman from the Big Apple to complete the coveted Triple Crown of open water swimming.

“I’ll cry. I’ve cried at the end of every swim, and it’s a happy cry. It’s not an ‘I’m exhausted cry.’ I’m very lucky,” said water wonder Fleur Sohtz, a 47-year-old chief marketing officer for a software-analytics firm. 7

“For those New Yorkers that are looking to do something a little crazy, they can,” said Sohtz — who already swam the Catalina Channel off California and around the island of Manhattan.

“It’s only crazy until someone does it. And I’m happy to be that New Yorker that’s going to do it,” the Upper

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