Fifth Avenue is no stranger to excess, but Louis Vuitton’s next act may raise the bar (literally) by half a dozen stories. Fresh plans filed with the city show that the French fashion house wants to replace its existing 20-story Midtown flagship with a shimmering 25-story tower that’s less shop, more lifestyle playground.

The proposal, submitted by LVMH to the Department of City Planning, envisions a 485-foot-tall temple to luxury that would roll retail, culture and a little pampering into one gilded package. Anchoring the project is a 10-story flagship store where Vuitton devotees can browse leather goods and runway looks. But the real flex starts upstairs: The eighth floor will host a café and terrace with Central Park views; four floors of exhibitions will showcase the brand’s

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