In the scenario where R3 legally tags up on a fly ball catch, what is the advancement awarded to R1 after the ball goes into dead-ball territory?

In this scenario, when the ball goes into dead-ball territory, R1 is awarded two bases from the time the ball left the fielder's hand. This is in accordance with the rules of baseball regarding dead-ball situations. When a ball becomes dead due to being thrown out of play, the runners are allowed to advance a specified number of bases based on their position when the play began.

Since the play involves R3 legally tagging up after a fly ball and the ball subsequently going out of play, R1's advancement is calculated from the moment the ball was thrown, not from where the ball landed in the dead-ball territory. This interpretation allows R1 to move in a calculated manner, reflecting the rules governing the game. Thus, R1 advances two bases from their position at the time of the throw, ensuring fair treatment in the context of the game.