Jennifer Lopez didn’t let controversy surrounding her singing “Happy Birthday” to allegedly oppressive Turkmenistan leader Gurbanguly Berdimuhamedov for $1 million ruin her own birthday. J.Lo was seen celebrating Thursday at Miami nightclub Wall. Spies said rapper Pitbull jumped into a booth with DJ Irie to serenade Lopez, who sat with boy-toy Casper Smart and 15 pals in a banquette. The group ordered bottles of Belvedere and Moët Rosé, though Lopez stuck to water, spies said, and stayed till 3 a.m. We hear the “On the Floor” singer — whose 44th birthday is Wednesday — will continue celebrating Saturday at her new $10 million Water Mill estate. “It’s going to be a lovely all-American party like it’s the Fourth all over again,” said a source. We hear there’s an 80-person guest list for the hush-hush bash. The Human Rights Foundation accused J.Lo of raking in $9 million over two years by playing private gigs for “dictators.” Lopez’s reps said, “Had there been knowledge of human-rights issues . . . Jennifer would not have attended.”