Remove the pump? Go to a new mechanic.

Fix the leak, the pump just needs to be resealed, but unfortunately it does require complete removal. Sounds like both of those mechanics have no clue about the transmission at all.

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2016 Monsoon Gray Audi Allroad - 21k
2008 Black Mercedes E350 4Matic Sport - 131k
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2003 Gray Mercedes ML350 - 122k