The actress, whose star turn in the Broadway musical has reversed its flagging fortunes, will stay with the show to the end.A Broadway revival of “Funny Girl” that was battered and boosted by offstage drama will finish its roller-coaster ride over Labor Day weekend, the show’s producers announced on Thursday.The production — the first revival of a musical long deemed unrevivable because of the long shadow of its original star, Barbra Streisand — has been among Broadway’s best-selling shows ever since Lea Michele, of “Glee” fame and then flak, stepped into the title role.Michele, whose can’t-miss voice and can’t-turn-away comeback story have turned her tenure into the talk of the town, will have spent a year in the role: Her first performance was Sept. 6, 2022, and her final performance will be Sept. 3, 2023. She replaced Beanie Feldstein, whose comedic chops, according to critics, were not matched by the vocal range required for the role.Michele has essentially single-handedly reversed the show’s fortunes, which had been flagging until she joined the cast. The show’s grosses more than doubled when she stepped into the role, and plunge whenever she is out. (Last week, when she and her co-star, Ramin Karimloo, were on vacation, the show’s grosses dropped by a staggering $950,000, to 50 percent of what they had been the previous week.)Critics have gushed. In The New York Times, Jesse Green described Michele as “a missile: a performer who from her first words (‘Hello, Gorgeous’) shoots straight to her target and hits it.” In the Los Angeles Times, Charles McNulty wrote “Lea Michele is delivering a tour de force for the ages.”More on N.Y.C. Theater, Music and Dance This SpringMusical Revivals: Why do the worst characters in musicals get the best tunes? In upcoming revivals, world leaders both real and mythical get an image makeover they may not deserve, our critic writes.Rising Stars: These actors turned playwrights all excavate memories and meaning from their lives in creating these four shows, which arrive in New York in the coming months.Gustavo Dudamel: The New York Philharmonic’s new music director, will conduct Mahler’s Ninth Symphony in May. It will be one of the hottest tickets in town.Feeling the Buzz: “Bob Fosse’s Dancin’” is back on Broadway. Its stars? An eclectic cast of dancers who are anything but machines.Her run in the show has been all the more compelling because of its back story: On “Glee,” Michele played a character who idolizes Streisand, sings songs from “Funny Girl,” and then lands the starring role in a fictional revival. Michele, in a life-imitates-art sense, seemed destined to take on the role on Broadway, particularly since the real-world revival was being directed by Michael Mayer, who played a significant role in Michele’s career by casting her in her breakout role, in “Spring Awakening,” when she was still a teenager. But by the time the “Funny Girl” revival rolled around, Michele had been denounced on social media after being accused of behaving poorly toward her television castmates, and the production turned instead to Feldstein, a well-liked star of “Booksmart.”The “Funny Girl” revival opened last April, but critics were generally underwhelmed by Feldstein’s performance, and sales had begun to droop by summer. That’s when Feldstein left, and Michele arrived, creating a high-stakes spectacle for a show in need of a jolt and an actress in need of a new narrative. “This was a make-or-break moment for Michele’s career,” McNulty wrote.Michele’s performance has thrilled audiences, and, once she arrived, the show recorded a cast album. She has tirelessly promoted the show, dancing at the Macy’s Thanksgiving Day Parade, kvelling over a letter from Streisand on “Late Night With Seth Meyers,” playing charades with Jimmy Fallon on “The Tonight Show.” In interviews, she has deployed a combination of charm, contrition and humility.The producing team, led by Sonia Friedman, offered no explanation for the decision to close, and a spokesman had no comment. But it has been widely expected within the industry that once Michele’s tenure was over, the show would end its run. That is not particularly unusual for star-driven musical revivals: “Funny Girl” will have outlasted the recent revival of “The Music Man,” for example, which ran for 13 months and closed with the departures of its big draws, Hugh Jackman and Sutton Foster.The show’s four lead performers — Michele, Karimloo, Jared Grimes and Tovah Feldshuh — have all agreed to stay through Sept. 3, the producers said. But Karimloo will take a leave from June 27 through July 17 to star in a production of “The Phantom of the Opera” in Italy.It remains unclear whether the “Funny Girl” revival will recoup its $16.5 million capitalization, and a spokesman also had no comment on that. But the show has been selling strongly — grossing between $1.8 million and $2 million per week through January and February, which are soft months for Broadway — and the closing announcement could boost sales further. (The show has also had the highest average ticket price on Broadway: $204.55 during the week that ended Feb. 19.)The producers said that they plan a North American tour that will begin in September, the same month as the Broadway closing, starting in Providence, R.I. The tour casting has not been announced. More