Background
In the kitchen I have an 80cm wide recess that perfectly fit with my 80cm wide x 72cm tall cupboards I got as a gift when moving in. One of the cupboards stands on the floor in the recess and I wish to mount the second one on the wall above it.
The cupboard has two rectangular loops on either side screwed to the back for hanging it on a hook. Normally I wouldn't have a problem mounting it, however because I'm mounting it inside a recess, after measuring everything it turns out the furthest I can drill from the corner wall to still fit the hook inside the loop is 2,5cm. This is a problem, because the drill I have is too wide to drill this close to the corner without the wall on the side getting in the way.
I prefer to not modify the cabinet itself, as my (shady) modification most likely won't handle the load and I prefer not risking it with 4 cats in the house.
Problem
I need to drill a hole for a screw anchor 2,5cm from the concave corner, but the drill I have is too wide to fit in that corner.
Possible solution
The possible solution I have is to drill the hole at an angle, at 70-60 degrees horizontally instead of the usual 90 degrees. The drill bit is long enough to drill the hole at that angle without obstruction but I'm afraid it could negatively impact the load-bearing ability of the wall plugs. I don't know how valid this concern is since this is a second time in my lifetime when I mount something on a wall with a drill.
Additional info
The wall is some depth of plaster (I'm guessing 1-2cm) over red bricks. For mounting I'm using Fischer Wall Plugs 55010 with corresponding-size L-shaped hooks. The cupboard looks like on this picture and the loops on the back of the cupboard look similar to those.
The side wall is 40cm deep on the one side and 20-25cm deep on the other side.