Whoa, Mike, I think they slipped this one by you.
When Tim re-entered, and lineup back to 10, Tim is again the flex, and David is the DP. It is not only legal for David to bat and Tim to continue pitching, it is necessary without reporting another change. In that scenario, Tim has not left the game when David hits, and has not re-entered more than the first time.
This is completely legal, as I read the play.
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