I will give this one a go. The bad news is it looks like it will not come back. Also consider the fact that the availability of a dead straight replacement is high. There are so many people here that have racks full of loose rims exactly like you have shown. The time it would take you to get it to run true may not be worth it. It will never be the same, even if you get it close. Maybe this is why no one responded?
If it was a twenties G&J clincher, it may be worth spending time getting it close to round as possible, but this is not a rare rim. That said, it may be a learning experience to attempt it. I would 1st get a big crescent wrench on it and laterally get the bead back in line horizontally as best you can. The vertical damage is deep, making it one tough cookie to push back outward. Your 2nd task, if you choose to accept it, involves a very large reverse blow with a very large hammer and flat ended hardwood drift. I have in the past, cut out with a bandsaw a block of hardwood that matches the curve of the outside of the rim exactly. Maybe 12" long with a flat bottom and the curve on the top portion of the block. You would then lay the dented rim into the block with the damage facing down, then whack it hard with a big hammer or sledge forcing the rim down into the wood blocks' curve. You could have a friend hold a punch made from a block of hardwood 2" x 2" x 12" long placed directly on the top of the dent while holding the rim in place and then with a huge amount of trust in your aim, allow you to hit the end of this block with your weapon of choice, using it as a punch placed on the high spot of the rim. The force required to dent it like that was immense. It requires an equal amount of force to get it to go back. You should also back the tension completely off of at least 6 spokes around the dent before you hit it, which will give it a better chance of returning to round...good luck!