Here's how it looked after welding:
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I couldn't for the life of me find my Dremel tool, so I just figured I'd pull out the files and use a little elbow grease to reshape the bracket. Probably all for the better, as it's so easy to over-do something with the high speed dremel. First I filed the flats:
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...And a few other files (I didn't use this one much - too much danger of it cutting its own path)
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And after about 20-30 minutes of working it, I came up with this:
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I reassembled the unit to check the fit, with new springs and the old seats. Everything looks great as far as the bracket/spring/seat movement, but I have a good bit of play as the outer bracket can move up and down on the shaft. From what I can tell, it looks like I'll need to add about .040" of shim between the ring clip and the bracket, and everything will be snug and smooth.