French pronounciation of Beatrice - General Name Discussion

My husband and I love the name [name]Beatrice[/name], but as he is French we would like to pronounce it the French way (bay-a-treece), with the nickname Béa ([name]Bay[/name]-a). I know people at school will call her [name]Beatrice[/name] and trying to get everyone on board with a french pronunciation will be hard. Are we being unrealistic? At the same time there are several pronunciations of [name]Beatrice[/name] in English so maybe telling people how to pronounce it come with the territory?

Thanks for any words of wisdom!

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