Should I go to a high class fine dining restaurant on the first date or not?

There’s a martial arts teacher that I’m madly in love with and I’m planning to marry her no matter what but she considers me only as a friend even though she accepted to go on a date with me so should I go to any sushi restaurant or should I go to the one that costs 350$ per person? After all first impression lasts
Should I go to a high class fine dining restaurant on the first date or not?
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