1,2,3 - do it once, then again and again and you get a dance.
8,9,7,6 - makes you unique and the same
3,4,6 or 3,5,6 - a drink
What is the word?
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Challenge
1, 2, 3:
cha; three times makes the Cha-cha-cha.
8, 9, 7, 6:
gene; the particular combination of genes makes us all human (the same), but since everyone has different alleles everyone is unique.
3, 4, 6 or 3, 5, 6:
Ale; self-explanatory, ale is a popular type of beer
You are looking for:
challenge.
It was given up for me by your first clue, which is
cha-cha-cha.
An interesting subset of the list of 9 letters word beginning like this are
{"chaffinch", "chagrined", "chainsaws", "chairlift", "chalkiest", "challenge", "chambered", "chameleon", "chamomile", "champagne", "champions", "chanciest", "chandlers", "channeled", "chanteuse", "chantings", "chantries", "chaparral", "chapattis", "chapbooks", "chaperons", "chaplains", "charabanc", "character", "charbroil", "charcoals", "chariness", "charities", "charlatan", "charmless", "chartered", "charterer", "chartists", "charwoman", "charwomen", "chastened", "chastised", "chastiser", "chastises", "chasubles", "chatlines", "chattered", "chatterer", "chattiest", "chauffeur"}
From where it was easy to spot
ale.
Then it was a simple check to see that
gene
actually fits.