Good question. My gut reaction was to let A1 shoot 1&1 and cancel the common foul by B2. However, since 2-10-4 only applies to unmerited free throws and those by the wrong player or wrong basket, 2-10-5 and 2-10-6 are the applicable rules:
ART. 5 . . . Points scored, consumed time and additional activity, which may occur prior to the recognition of an error, shall not be nullified...
ART. 6 . . . If an error is corrected, play shall be resumed from the point at which it was interrupted to rectify the error, unless it involves awarding a merited free throw(s) and there has been no change of team possession since the error was made, in which case play shall resume as after any free-throw attempt(s).
Assuming that "team possession" (which, BTW, i can't find defined in the Rule Book) hasn't changed because of B2's foul, play should resume after A1's free throws.
This means that you should let A2 shoot his 1&1 with the lane cleared first. Then let A1 shoot his 1&1 with the players lined up and resume from there...
Also, Team B's coach (or designated player) gets one free penalty hit of both the official scorekeeper and timer for causing his team to get screwed like this...
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