Automorphism group of Baumslag - Solitar group BS(1,2)

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Let $BS(1,2)= \langle a,b \mid bab^{-1} = a^2 \rangle$.

I would like to know if $Aut(BS(1,2))$ is finitely generated or not. And if yes, what are those generators.

Any help would be deeply appreciated.

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This automorphism group is finitely generated, according to the reference given in the automorphism group of a finitely generated group