Explicit Burgess inequalities for cubefree moduli

Burgess proved that for $χ_q$ a primitive Dirichlet character modulo $q$ with $q$ cubefree, $\sum_{M< n\le M+N}χ_q(n)= O\left(N^{1-\frac{1}{r}}q^{\frac{r+1}{4r^2}+ε}\right)$ for all integers $r\ge1.$ More recently, explicit versions with prime moduli $q$ were computed by Booker, McGown, Treviño, and