We present a new strong lensing model of the Hubble Frontier Fields galaxy cluster Abell 2744, at z = 0.3072, by exploiting archival Hubble Space Telescope (HST) multi-band imaging and Multi Unit Spectroscopic Explorer (MUSE) follow-up spectroscopy. The lens model considers 90 spectroscopically confirmed multiple images (from 30 background sources), which represents the largest secure sample for this cluster field prior to the recently acquired James Webb Space Telescope observations. The inclusion of the substructures within several extended sources as model constraints allows us to accurately characterize the inner total mass distribution of the cluster and the position of the cluster critical lines. We include the lensing contribution of 225 cluster members, 202 of which are spectroscopically confirmed. We complement this sample with 23 photometric member galaxies which are identified with a convolution neural network methodology with a high degree of purity. We also measure the internal velocity dispersion of 85 cluster galaxies, down to m F160W = 22, to independently estimate the role of the subhalo mass component in the lens model. We investigate the effect of the cluster environment on the total mass reconstruction of the cluster core with two different mass parameterizations. We consider the mass contribution from three external clumps, either based on previous weak-lensing studies, or extended HST imaging of luminous members around the cluster core. In the latter case, the observed positions of the multiple images are better reproduced, with a remarkable accuracy of ∼ 0.37 , a factor of ∼ 2 smaller than previous lens models, that exploited the same HST and MUSE data-sets. As part of this work, we develop and make publicly available a Strong Lensing Online Tool (SLOT) to exploit the predictive power and the full statistical information of this and future models, through a simple graphical interface. We plan to apply our new high-precision strong lensing model to the first analysis of the GLASS-JWST-ERS program, specifically to measure the intrinsic physical properties of high-z galaxies from robust magnification maps.