Could you tell me how to remove this part? (63)
You know, the more I look at your set up, and the more we have trouble with it, the more I become convinced that maybe these windows are not meant to be repaired. Many non-tilt windows with this kind of balance hardware simply cannot be removed. That is just the way they're manufactured; the only way to get them out would be to take apart the entire window, and we definitely don't want to do that.
How about this. I suspect that the "63" clip is screwed in from the side. I think it's bent, because usually they're meant to be angled down. That would account for why we don't recognize it. We aren't seeing the whole thing! You may be able to get a screwdriver or needle nose pliers to pull it down. We then may be able to see the fork on it.