Tensor product on a hilbert space

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If I have the expression:

$\langle\phi|\hat{A}$ $ \otimes \hat{I}|\phi\rangle$ $ $ $ $$ $(*)

where

$\hat{A}$ is a linear operator

$\hat{I}$ is the identity operator and

$| \phi \rangle \in \mathbb{C^2}\otimes \mathbb{C^2}$ and $\langle\phi|\phi\rangle=1$

Can I simplify (*) any further? Is it equal to $0$?