Question about Taxes in DCF

I understand that in a DCF, you don't include taxes in the FCFF, because it is already included in the tax shield in the WACC. But why is it not possible to leave it out of the WACC but then include it in the FCFF? Just in theory, why doesn't that make sense?

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But is it also possible to leave it out at the WACC and then not calculate NOPAT in the CF but rather only subtract the actual taxes, as tax shield is now not part of WACC anymore?

 

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