Hello thermocoffee,
yes, the card is fried. Before you try to repair it, try to get support from the manufacturer of this card. Maybe he will change it by warranty or repair it.
It's not easy to repair it yourself, if you have no experience to do it. I think it's a multilayer card.
You don't know the reason, why it is burn out. The simple reason is only a bad soldering point and the current has heat up the devices, but it can also be that other devices like capacitors or diodes are the reason. Also you don't know if the two chokes are still alive.
To repair it yourself, you must clean the PCB.
Do all the following very carefully, that you make no more damage!
The best way to do it, is to use a fiber glass brush to take off the coal carefully. Normaly you can see the rest of metal tips, where the choke are soldered. Carefully wipe out all dust with isopropyl alcohol (IPA 100%).
Do the same with the chokes. Solder a piece of wire to the soldering points of the chokes and than solder it to the PCB.
Control all again, if you have make no short circuit.
Pray, start your test and hope that it's function now :lol:
I hope it will help
Regards
Rainer