The supertight programme conjecture for odd type groups of finite Morley rank

Let $G$ be an infinite simple group of odd type and finite Morley rank with a supertight automorphism $[...].$ Assume that the fixed point subgroup $C_G(\alpha^n)$ is pseudofinite for every $n\in\mathbb{N}\setminus\{0\}$.

Super tight programme conjecture. The group $G$ is isomorphic to a Chevalley group $X(K)$ over an algebraically closed field $K$ of characteristic different from $2$.

This is one of the main goals of the supertight programme and concerns the classification of odd type groups of finite Morley rank under strong automorphism hypotheses. The supplied context does not state whether the conjecture has been resolved.