4. I use ordinary wood filler to build up the corners. I sand the vertical and horizontal after each coat just to keep those areas from 'over-building' as I layer up the filler in damaged corner. Repeat until your corner is perfectly square. This step generally takes me several days to get it perfect.
5. I re-veneer and refinish.
Ordinary wood filler works fine anywhere you're planning on veneering or covering the completed repair, and also in most face repairs and even most two-surface joints. Where it fails is at the eight places of any rectangular box, where three surfaces meet and come to a point. You can build a new corner, but the filler will usually break and crumble if there's any impact at the tip.
In the "olden days" I use to cut away veneer at these damaged corners, rebuild the box with a bit of wood and then patch the veneer (a solid wood corner without veneer would be structurally as sound, but the grain would never line up). Today, I use the epoxy-based filler and then color and faux grain. It's at least as durable as an all-wood repair, and with practice you can draw in "grain" that's actually a better match for the existing wood.