We study the $SU(\ensuremath{\infty})$ lattice Yang-Mills theory at dimensions $D=2$, 3, 4 via numerical bootstrap method. It combines loop equations, with a cutoff ${L}_{\mathrm{max}}$ on maximal length of loops, and positivity conditions certain matrices Wilson averages. Our algorithm is inspired by pioneering paper P. D. Anderson M. Kruczenski [Nucl. Phys. B921, 702 (2017)] but it significan...