Lucali does take reservations on Resy, but it is still extremely hard to land a reservation. Slots are only opened up for two weeks out and fill up extremely quickly. It's also unclear when new days are added. But after checking Resy frequently for a month or two, I was able to land a Resy spot a few weeks ago.
No reservations. You have to show up in person and they start taking names at 5. Line usually starts forming by 4ish, depending on the day
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