  We perform a high-precision computation of the three-loop three-point form
factor of the stress-tensor supermultiplet in ${\cal N}=4$ SYM. Both the
leading-color and non-leading-color form factors are expanded in terms of
simple integrals. We compute the complete set of integrals at a special
kinematic point with very high precision using $\mathtt{AMFlow}$. The
high-precision leading-color result enables us to obtain the analytic form of a
numerical constant in the three-loop BDS ansatz, which is previously known only
numerically. The high-precision values of the non-leading-color finite
remainder as well as all integrals are also presented, which can be valuable
for future use.
