Cate Blanchett isn't just a great actress ... she can lip-sync the hell out of a song while sharing the stage with drag queens too.
Cate made an appearance Monday night at Stonewall in NYC -- where she's filming for "Ocean's Eight" -- and performed during a drag show to benefit a charity for the Sandy Hook massacre.
The Oscar winner ended up doing Dusty Springfield's version of "You Don't Own Me." Nailed it too, obviously.
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