Your “level” of cousin is determined by your closest common ancestor. If you share a grandparent: first cousins. If your closest ancestor is a great-grandparent: second cousins. However, your grandparent might be a younger relatives great-grandparent, or vice versa. In this case your “level” of cousin is determined by who is closest to the common ancestor. And the difference between how far the two of you are if your level of “removed.”
So if your closest ancestor is your great, great grandparent, but is their grandparent, you will be first cousins, since they are only two away from the common ancestor. And since your common ancestor is your great, great grandparent, that makes it “twice removed.” So they would be your “first cousin, twice removed.”
https://www.ancestry.com/c/dna-learning-hub/cousins-dna-match
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