  Let $A_L$ be the right-angled Artin group associated to a finite flag complex
$L$. We show that the amenable category of $A_L$ equals the virtual
cohomological dimension of the right-angled Coxeter group $W_L$. In particular,
right-angled Artin groups satisfy a question of Capovilla--L\"oh--Moraschini
proposing an inequality between the amenable category and Farber's topological
complexity.
