> There is no analog for the first sale doctrine...
There is. It is called patent exhaustion. See https://en.wikipedia.org/wiki/Exhaustion_doctrine_under_U.S....
There was a fad of issuing a "covenant not to sue" in lieu of a license, specifically to try to avoid triggering exhaustion, but courts seem to be (correctly, in my IANAL opinion) treating them as licenses anyway. See, e.g., https://www.patentlyo.com/patent/2013/01/3rd-circuit-covenan...