I don’t understand anything you’re saying!
If I receive an invoice with VAT and I pay the total amount, including VAT, to the seller, then I shouldn’t have to pay both to him and to the tax authorities, that would mean paying twice! What are you going on about here?
Alternatively, YES, if I receive an invoice without VAT from a company, then I have to pay the VAT︀ to the tax authorities if it is required.
These discussions sometimes get a bit heavy︁ when things could be explained so simply.