I am new to woodworking and have built a corner unit in our ensuite bathroom. I am looking to find a 45 degree corner hinge which is surface mounted (I am unable to use a hinge with a mortise due to the material the wooden door will join with). My doors have a 45 degree bevel edge because the housing is square. I have probably poorly designed it which is why I am struggling to find anything but I am where I am and want to try and proceed.
Diagram
Here is a crude diagram to try and explain my set up. The red circle is where the hinges will be placed.
[Edit] A normal hinge pushes the face side edge into the wall