Mystery hose found in box of parts

[joe fxs fxr]

I'm nearing the end of the box of parts removed from my 82 FXR last year and came upon this hose that I can't identify. The picture shows it next to a piece of overflow hose off a Keihin carb, and a piece of 1/4″ OD tubing that is similar to battery vent tube. This one measures 3/16" OD, the others are 1/4" OD or slightly less. Anyone recognize it? The bends are quite unique. Thanks

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This is where I am with the restoration. I hope to have it ready for judging at the Yankee Chapter event in July.

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[aumick10]

Looks to be an OEM carb overflow tube.