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I am being informed that an AM Veteran Squad may select one of the three doctrines per squad. The codex states, "the squad can choose any of the following." I gather this to mean you can select any combination of the three, or all three if you desire, since the entry does not state "one of the following." I am looking to make sure I am not building my army lists incorrectly. In this case, it's an Apocalypse list where carapace armored, camo cloaked, melta bombing Veterans for 115 pt seems completely reasonable. Can someone shed some light on this?

You're reading it correct.
No problem with taking all three.
There's plenty of examples in the Codex when you can only take one, or a limited number if you need to compare.