The voice-over _clearly_ says: "when two particles are entangled _they can influence each other_ no matter the distance", which is super wrong. If you have two spin entangled particles and you change the spin of one, the spin of the other does not change, there is no influence, only correlation.
Maybe they intended something about the wave function collapse, but they didn't say it. If even explanations coming from CERN get this wrong, I despair for the status of science communication in general...