Diagnosis
That’s an installation seal issue. The leak is almost certainly from the faucet mounting nut not being tight enough, or the rubber washer/gasket under the sink not seated properly.
How to Fix It
First, tighten the large chrome mounting nut under the sink—hand-tight plus a good quarter-turn with a wrench should do it. Don’t go Hulk on it, you can crack the faucet shank. If it’s still dripping, you need to check the seal. Turn off the water supply and disconnect the quick-connect line from the faucet. Unscrew the mounting nut completely and pull the faucet up. Check the rubber gasket/washer that sits between the sink and the faucet base. Make sure it’s not pinched, damaged, or missing. Re-seat it carefully, reassemble, and tighten.
If That Didn't Work
The leak might actually be from the quick-connect fitting itself, not the base. Disconnect and re-seat the plastic tubing into the faucet’s quick-connect port, making sure you hear a solid click and give the tube a firm pull to confirm it’s locked.
Heads Up
That drip is coming from the product water line, not dirty feed water, so it’s clean. Still, a wet cabinet is a moldy cabinet, so get it fixed fast.