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Here's the rule on:
"EARNED RUNS
10.18 An earned run is a run for which the pitcher is held accountable. In determining earned runs, the inning should be reconstructed without the errors (which include catcher's interference) and passed balls, and the benefit of the doubt should always be given to the pitcher in determining which bases would have been reached by errorless play. For the purpose of determining earned runs, an intentional base on balls, regardless of the circumstances, shall be construed in exactly the same manner as any other base on balls.
(a) An earned run shall be charged every time a runner reaches home base by the aid of safe hits, sacrifice bunts, a sacrifice fly, stolen bases, putouts, fielder's choices, bases on balls, hit batters, balks or wild pitches (including a wild pitch on third strike which permits a batter to reach first base) before fielding chances have been offered to put out the offensive team. For the purpose of this rule, a defensive interference penalty shall be construed as a fielding chance.
(1) A wild pitch is solely the pitcher's fault, and contributes to an earned run just as a base on balls or a balk.
(b) No run shall be earned when scored by a runner who reaches first base
(1) on a hit or otherwise after his time at bat is prolonged by a muffed foul fly;
(2) because of interference or obstruction or
(3) because of any fielding error.
(c) No run shall be earned when scored by a runner whose life is prolonged by an error, if such runner would have been put out by errorless play.
(d) No run shall be earned when the runner's advance is aided by an error, a passed ball, or defensive interference or obstruction, if the scorer judges that the run would not have scored without the aid of such misplay.
(e) An error by a pitcher is treated exactly the same as an error by any other fielder in computing earned runs.
(f) Whenever a fielding error occurs, the pitcher shall be given the benefit of the doubt in determining to which bases any runners would have advanced had the fielding of the defensive team been errorless."
Unless there are other circumstances you didn't list, 3 (c) covers it. Should NOT be an earned run.
Bob
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