This isn't really that difficult to figure out. There are nine batting slots in the lineup. The ejection of the 3b caused a 'vacancy' in that slot, leaving 8 batting positions. There is only one player currently NOT in the batting order, that would be P, who is eligible to enter that slot. Because the pitcher entered the lineup the DH must play defensively, and there is only one open defensive spot, 3b.
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Bob P.
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