If one or more shops have looked at it and determined the transmission needs to come out, I think it is disingenuous to suggest that the OP should buy your transmission fluid because that may somehow fix it.

A transmission fluid change may improve shifting characteristics if the old fluid is out of spec, but no transmission fluid repairs broken components.

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2007 X3 3.0si, 6 MT, Premium, White

Retired:
2008 535i, 6 MT, M Sport, Premium, Space Grey
2003 X5 3.0 Steptronic, Premium, Titanium Silver
2002 325xi 5 MT, Steel Grey
2004 Z4 3.0 Premium, Sport, SMG, Maldives Blue