Bernoulli disjointness

Generalizing a result of Furstenberg, we show that for every infinite discrete group $G$, the Bernoulli flow $2^G$ is disjoint from minimal $G$-flow. From this, deduce algebra generated by functions $\mathfrak{A}(G)$ proper subalgebra $\ell^\infty(G)$ and enveloping semigroup universal $M(G)$ quotient $\beta G$. When $G$ countable, also prove any metrizable, $G$-flow, there exists free, it exist continuum many mutually minimal, metrizable $G$-flows. Finally, improving Frisch, Tamuz, Vahidi Ferdowsi answering question theirs, if countable icc group, then admits proximal flow.