Sendov's conjecture holds for every degree $n\ge 10^{200000}$

Sendov's conjecture, first formulated in 1958, asserts that if a complex polynomial $f$ of degree $n \geq 2$ has all its zeros in the closed unit disk ${z \in \mathbb{C} : |z| \leq 1}$, then, for every zero $λ_0$ of $f$, there exists a critical point $ζ$ of $f$ such that $|ζ-λ_0| \leq 1$. The conjec