Long story short, I got a free mirror, but I had no way to hang it (besides taking a trip to the hardware store, but come on...) so I modelled something quickly in Fusion 360 that works great!

You can download the file at: https://a360.co/2Df6cyT

Step 1: Basic Design

I used Fusion360 for the design of this bracket. After taking measurements for the thickness of the mirror (mine was 4mm), I started off with a simple L shape, with a top cap to actually hold the mirror against the wall.

Step 2: Tweaking

After that, I realised I needed to crate a bit more space for the screw holes, so I used the push/pull command to extend the outer walls by about 5mm in each direction. I then added the 5mm screw holes.

Step 3: Polishing

With the screw holes added, I filleted the edges of the retaining section of the bracket, and added a chamfer to each of the holes. I then outputted it to slic3r.

Step 4: Slice and Print

In slic3r I set an infill density of 90%. I'm not sure that this was entirely necessary, but it gave me some peace of mind at the very least. I then printed four brackets at a speed of 50mm/s on my Ender 2.

Step 5: Installation

I inserted Rawlplugs into the plaster board and then screwed in the bottom two brackets. After dropping the mirror into place, I screwed in the topmost brackets and could fully enjoy the use of my new mirror!