F1 transitions from the role of fielder to the role of "pitcher with possession of the ball in the circle" when the play initiated by the batted ball being put into play is over.
The pitcher's circle is not a "stop" button. Runners may attempt to advance when the ball is put into play. On a caught fly ball, runners may tag up and attempt to advance. F1 cannot stop that by feigning indifference and hoping the "stop" button works. JMO.
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Tom
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