This is correct.
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I have to correct you on this. AN SBR is defined by the ATF as: "A shoulder-fired rifled firearm that has a barrel that is less than 16-inches in length OR has an Overall Length (OAL) less than 16-inches."
Even if your rifle has a 16-inch barrel, it is still an SBR if it is less than 26-inches OAL.