I used the vise method and it worked. I was able to get it open without any visible marks

The brick is now repaired, as the only problem was the input filter choke that had detached and was shaking inside.

I resoldered it and now it works a treat. Also, there are only two electrolytics inside and both of them are Nichicons, so I belive that they won't need much of recaps in the years to come.