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We caught up with Glee star Lea Michele in New York Tuesday, just as it was revealed she dated her TV co-star Matthew Morrison back in their New York days. In

Brunette Ambition, Lea clarifies that the late Cory Monteith wasn't her only real-life love interest from the set. The singer/actress, 27, says she dated Marrison, 35, before their Glee days -- "back in the day for a Broadway beat."

This is the first time Michele has admitted to the romance -- even when media speculated about the two, both claimed their relationship was nothing but platonic. But we didn't read the fine print ... they were talking about their time on Glee ... they didn't say anything about BEFORE the hit show!