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What animation is used for this menu?

Hi guys!

I’ve tried so many times to recreate the menu-in and menu-out animations from the cuberto website:

but no matter how hard I try, I just can’t seem to create this smooth ease in and ease out animation for the white block in the menu.

Any help will be greatly appreciated!! <3

Here is my public share link: LINK
(how to access public share link)