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added 89 characters in body
Kris
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It's an adverb modifying (emphasizing) the verb be. Cf. certainly, surely etc.

We (are) (very much) a family.
        ↓             ↓
        verb ← adverb of emphasis

HTH.

Kris
  • 37.6k
  • 6
  • 60
  • 165