As shipwreck stated this is considered a force out. because of the batter becoming a batter-runner R2 was forced to advance to 2nd, since the third out was obtained prior to a runner that was forced to advance safely doing so no run can score. Think of the runners and their situation not whether it was a "force" out like standing on the base with the ball. The runner was forced to go, whether she was tagged or put out by a fielder on the base don't matter.
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