Here’s the part nobody tells you: fresh grease makes your clutch feel like a brand-new bike. Unbolt the cable at the lever (it’s that little nipple fitting—pull it out gently, it’s not married to anything). Squirt lithium grease into the cable housing; use a small funnel or just get messy. Slide the cable back in and work it through. You’ll feel the friction drop like a politician’s approval rating. This step also prevents rust, which is exactly why your grandpa’s 1972 Kawasaki is still running while your buddy’s 2015 BMW is in the shop for a “control unit error.”
Now, reassemble everything. Tighten the lock nuts, check your free play again at the lever. If it’s still off, repeat step one. Do not overthink this—I once spent two hours adjusting a cable only to find I left a cloth inside the lever assembly. Stupidity has a smell, and it smells like burned clutch.