There is no "Authorized" Apple "service" center here in Qatar. There are many "local" service center that the sellers are linked to, who took contract for the set of devices to repair devices like Starlink, Vodafone, Ooredoo etc. Everything depends on the serial number of the device. One device can only be accepted by one service center, depending on serial number. So you don't know now who will accept your phone. Easy way is to submit to the shop you bought from, but since you have only few months to expire warranty I would suggest you to go to service center directly. But since we don't know where it belongs to, its difficult.
To avoid all these confusion, I sent my phone to Dubai with friend and got brand new phone.