Richert proved in 
https://link.springer.com/article/10.1007/BF01399533
that $$ \zeta(s) =O\left( |\Im(s)|^{100(1-\Re(s))^{3/2}} (\log |\Im(s)|)^{2/3}\right)$$ uniformly in the region $\Re(s)\in [1/2,1], |\Im(s)|\geq 2.$
The exponent $100$ has been improved to $4.45$ by Ford https://arxiv.org/abs/1910.08209.

My question is whether the constant $4.45$ has been further improved?