Yeah, that looks like somebody t-boned a curb with that thing, it probably flattened the lip out on that side and punched the spoke through. the owner probably had it bent back and welded. It's difficult to get wheels back into round depending on how bad they are, and it's even worse with a weld repair like that.
I wouldn't run that just by looking at it. If not for the fact that it will most likely be felt at speed, I wouldn't do it because who knows what will happen the first time you hit a nasty pot hole on accident. If it's visible while spinning (like the last vid) or if you try and roll it across the kitchen/garage floor and it wobbles like my drunk grandma, don't use it.
__________________
|