A furry is a human who believes/“knows” they’re the wrong species, and/or acknowledges their humanity but wishes so hard that they weren’t, and/or is willing to enter into alt-personality fantasy to a level that non-furries might say is taking it way too far. Importantly, furries have a preferred non-human form

You are thinking of therians/otherkin. Furries are just humans who enjoy animals with human intelligence in human situations.