Rainmaker has put extensive thought into this stuff, and I'll be interested to see what she says, others too. And I don't have my case book here, but from strictly my reading of rule 2-10 (NFHS), here's what I get:
If the administering official told them 2 shots, then you have nothing more than an excitable young man throwing up a prayer with a dead ball. Major bummer for sure, but wipe off the basket, restore the time on the clock, line everybody up for the second shot and go on as if nothing ever happened.
If the official signaled 1&1, then things get more interesting. You have a failure to award a merited free throw, which is a correctible error. And you're still within the time frame to correct it. However, "Points scored, consumed time and additional activity, which may occur prior to the recognition of an error, shall not be nullified." At that point you shoot the additional free throw with the lane cleared and go to the POI, which is the throw-in after the made basket.
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"It is not enough to do your best; you must know what to do, and then do your best." - W. Edwards Deming
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