It was Frank Musso's Restaurant back in the late 1950's, then Joey's New Yorker Restaurant, then No Hill Casino, and finally Casino Royale. I've started going to "The Nob" in 1984 and have been there every year since then, except for maybe 4 years that it closed prior to Casino Royale opening.
https://www.lvstriphistory.com/ie/nobhill.htm