Black hole question

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Maybe it’s dumb and obvious but can someone explain to me why the center of a black hole is supposed to be a singularity? In an infinitesimal point with infinite density? Why cant it simply be very tightly packed mass due to gravity?
The reason I’m asking is because I assume to get a field where light cant escape is dependant on gravity alone, which itself is dependant on mass alone and not density.
Thanks for any replies