When goods are sold and transferred from the Kingdom of Saudi Arabia to another Gulf country, the place of supply is the member state of the final destination and therefore there is no tax added to the products purchased from the site because the place of supply is outside Saudi Arabia.
Example: If goods are shipped from Saudi Arabia to Bahrain, the place of supply is Bahrain, and the invoice issued will show 0% VAT (out-of-band tax). This transaction is outside the scope of Saudi VAT and is taxable under the reverse charge mechanism.
However, if the recipient chooses to collect the goods from Saudi Arabia and transport them to Bahrain on his own, then the place of supply is Saudi Arabia and this is where the tax is calculated.