"how do you discern a 32-bit from a 64-bit model?"

I don't know if you mean physically or what. In software you can run "lscpu" and pay attention to "CPU op-mode(s)"

CPU op-mode(s):        32-bit, 64-bit

It mentions both because 64-bit x86 CPUs can also run 32-bit code.

Ta Da.

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