Adding a bit...
I mount my tires a little differently than others, but find it avoids such problems almost completely and has proven itself over the last 35 years or so.
Starting with a loose tire, I inflate the tube until it barely has "structure" -- just becomes round, but is still largely flaccid.
I then place it entirely in the tire, indexing the valve stem with the center of the tire label on the right side of the wheel/tire. This makes it easy to locate and repair future punctures -- and makes sure I find and remove the culprit that caused the puncture.
Next, I place the valve stem in the rim hole, followed by the bead nearest me, seating it fully next to the valve.
Then, starting at the valve, I work my way 'round till the bead nearest me is fully seated in the rim.
I then reverse the wheel so the loose-bead side faces me, and I start seating the bead at the valve, working both sides away from the valve at once. By the time I'm done, only one small section of tire bead is left unseated, and it is opposite the valve.
I then gather the tire upward, starting from the valve, which is pointed down. Progressively pinching the tire casing from the valve upward ensures both beads drop into the center of the rim, freeing space for the final bead-seating, which usually pops easily into place using only my hands. If the tire casing is hard to mount, I can usually resolve the problem by letting a bit of air out of the tube.
I've found this method works well for narrow or wide tires, folding or rigid beads, and I never have need to use tire levers. Reversing the method to demount, I rarely need tire levers at all, and only then sometimes to start the removal process. Of course, if tolerances aggregate against you, this is no longer true. A small-diameter tire on a large-diameter rim will fight you to the end. I do use Rema talc inside my tires and on my tubes, and I have found it serves as a lubricant to ease the tire bead over the rim sidewall and edge. It also helps avoid trapping the tube beneath the bead as the tire casing seats on the rim.
After the tire is mounted, I then pinch the casing all-round to ensure the tube is not trapped beneath the bead at any point, particularly at the valve. Since there is little air in the tube (remember it is aired up just enough so it is no longer flaccid), I press down on the wheel and roll it for one complete turn -- again, to relieve any tube trapped beneath the bead.
At this point, I usually insert the wheel and secure it with the quick release. This avoids any interference between a wide tire and narrow brake openings. It is not usually a problem with v-brakes, but can sometimes be a problem with older road/randonneur bikes that have narrow fork brake boss spacing if one runs relatively wide tires on relatively narrow rims (i.e. 32mm tires on Mavic MA-2 20mm rims) with cantilever brakes whose pads cannot open fully due to interference with the fork blades. I then fully inflate the tire with the wheel in the bike.
Works well for me and seems to avoid the problems I had before adopting this method -- including entrapped beads, as shown in your photo above.
All the best,
Dan.