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That sounds about right... you need to bring it to a watchmaker, at least that's what I did.
The previous owner of mine had bent a bit the end link to make space for the tool to fit.... but my watchmaker straightened that back to factory specs. Not sure how you remove it properly.
May be @Archer can possibly chime in? (Thank you in advance Al for your advice and guidance...).
The early 1162/172 end links dont have much space but you can get a very fine spring bar tool in there and release the spring bar or a 1.0mm screw driver which is what I use. The later style end links have cut outs which make it easier to release the spring bar.
If the spring bars are old and tight it might be worthwhile to spray them with a little WD40 and leave them for an hour or so to ease up before trying to remove them.