an apparent "inconsistency" in lorentz transformations?

Question

why the Lorentz transformations forbid passing to a reference system with the speed equal to that of light despite there are particles (photons) traveling at this speed? in other words I see the fact that the Lorentz transformations forbid placing oneself in an inertial system that travels at the speed of light (due to the cancellation of the denominator $1-\beta^2$) and that there is a photon that travels at this speed, which is a contradiction. Generally the explanation is that an observer cannot have zero mass. Despite this I see the possibility of having a luminary system coinciding with the existence of a particle traveling at the speed of light, hence the contradiction that I said above. Can anyone explain to me the right point of view that I need to adopt?