My understanding is that the Pauli exclusion principle is always valid for fermions, as long as these fermions exist.
For example, when a star collapses under gravity, at first the Pauli exclusion applies to electrons until they combine with protons, at which point leptons leave as neutrinos and a neutron star forms.
From this point, the Pauli exclusion applies to neutrons until they break under gravity into quarks potentially forming a Quark Star:
At this point the Pauli exclusion applies to quarks. The Up and Down quark are stable elementary particles that cannot break down into anything smaller like atoms or neutrons. Therefore, it would seem that the Pauli exclusion would still apply to quarks and prevent the collapse no matter how strong gravity is.
What is the current reasoning of how gravity overcomes the Pauli exclusion principle for quarks to form a black hole?