PBP ARM Processor RECOGNIZED by Default Debian OS Synaptic Package Manager

[Der Geist der Maschine]

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So this all begs the question, when I look at APT or SPM displays of available apps, in what column or marker for a given app will I find the indication that ARM and/or x86 builds are available?

Jeremiah Cornelius told you, a little bit disguised, the answer. Perhaps you may want to familiarize yourself with debian package management? In short, if you have not made any modifications to the package management, then all debian packages found by Synaptics run on your machine. They are often arm binaries but can also be platform independent file such as documentation.