Power supply out of order

Hello everyone,

I recently got an Xbox One out of order, and after analysis, I realized that the xbox had no problem, but that the problem came from the power supply of the Xbox One.

When the power supply is plugged in, it makes an orange light, and once plugged in the console this light goes out. Everything works perfectly with another power supply. So I decided to open the power supply to see if it was a capacitor that had bulged and should be replaced. But here is the inside:

At first sight, no capacitor seems to be blown. But as you can see on the first picture, the other side of the case has turned brown, as if it had burned. I have no idea where the problem can come from, or what I should do now. Do you have any advice?

Thanks in advance,
Delfyr