VAT 0 for every items paid by Complimentary external payment
Who wants to pay VAT on something we didn't get paid for !!!!
When an item is offered with the Complimentary external payment, cancel the VAT of the item.

The optimal way to handle this is to have a complimentary product with a negative price and the same VAT and use it to balance out the original item instead of using a complimentary type of payment. The VAT will be balanced to 0 and doesn’t need to be paid and count of items will still be trackable.
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Ava C commented
Why did you guys created the Complimentary payment then ?
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Sebastien Bernard commented
I am agree with Mr Stephane, I don't want to pay for the VAT on something I didn't get paid for !!!
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Stephane Zabouri commented
I don't want to pay for the VAT on something I didn't get paid for !!!