It is possible to make a double-braid splice with a very tiny eye (I do it around shackles from time to time), but whether the 5/8 rope will fit through the last link in your chain is the big question. With three-stand, you don't have to ge the whole rope's diameter through the link, since you unlay the strands and push them though individually from opposite sides. If your double braid rope does fit through, you can just make a standard eye splice and see if it will fit through your gipsy. At the very worst you'll lose a few feet of rope if it doesn't fit and you have to cut the splice off.
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