Take the cable off on the carb side so you can hold it vertical. DO NOT CHANGE THE SETTING BY MOVING BOTH NUTS, only the outer nut so the cable will slip free. Grab a can of lubricant, not WD40. Work it in and out and keep spraying it. If you have access to the cable near the gripe, lube it there too and keep working it back and forth. If you can't get lube to go in, take a "Zip Lock" bag, nip the end off just big enough to put the cable end thru it, and tape it on. Now you can make a pool of lube to help it go in. Gravity often works too.
I would spray some lube inside the gripe tube too.
Feel the carb and if it feels sticky, lube the spring area up on it too. You should be good to go.
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