Weird play, need some confirmation

[dag2121]

So there are two outs and runner on third. The batter hits the ball back to pitcher who throws to home for some reason. The runner is safe at home. Then the catcher throws to first where the batter is safe. My question is, if the runner had not beaten out that throw, would the run still count at home? I have never seen this play happen? I know usually a runner can get in a run down and a runner does score a run it does indeed count. This was totally weird.

[Rich Ives]

16 minutes ago, dag2121 said:

So there are two outs and runner on third. The batter hits the ball back to pitcher who throws to home for some reason. The runner is safe at home. Then the catcher throws to first where the batter is safe. My question is, if the runner had not beaten out that throw, would the run still count at home? I have never seen this play happen? I know usually a runner can get in a run down and a runner does score a run it does indeed count. This was totally weird.

No run can score on a play where the batter-runner is the third out at 1B. Exception (1)

 

5.08 How a Team Scores
(a) One run shall be scored each time a runner legally advances to and touches first, second, third and home base before three men are put out to end the inning.
EXCEPTION: A run is not scored if the runner advances to home base during a play in which the third out is made (1) by the batter-runner before he touches first base; (2) by any runner being forced out; or (3) by a preceding runner who is declared out because he failed to touch one of the bases.