I have a question about commutative direct summands of $C$*-algebras.

Let $A$ be a $C$*-algebra (with unit) and suppose that its bidual $A^{**}$ has a commutative direct summand, that is, $A^{**}=B\oplus C$ such that $B$ is non-trivial and commutative. Does this force $A$ to have a non-trivial commutative direct summand as well?

Thank you very much in advance for your feedback!