Were all quarks, leptons and gluons quantum entangled by the Big Bang? If so, what decoupled them?

It appears that the Big Bang began from a very small point in spacetime, and went through an incredibly rapid expansion for one millionth of a second. At that point, expansion had cooled the super-hot, energetic beginning Universe to a mere 1000 GeV (about 10 million million degrees). At that point, the forces of nature assumed their present properties (such as gravity, electromagnetism, and the strong and weak forces) and the ‘quarks’, the elementary particles that are the building blocks of matter, started wandering freely. Thus, I would assume they were all quantum entangled at that point.

They are not all entangled today. When we want to study entanglement, we have to deliberately cause them to interact and become entangled, or find ones that have recently interacted by chance encounters. So how did an entire Universe of entangled particles lose it’s initial hyper-entanglement?