Water that you see leaking there is often actually leaking from higher up, at the faucet or from the sprayer connections.
Is that braided supply hose a permanent part of the faucet? - Yes
Or is it an extension hose?
If it is permanent, you are probably looking at buying a new faucet. - Permanent
Now you know why you keep all your manuals, and ask for manuals when you buy a house. - Not my house.
Check for a leak somewhere else. - Everything else dry.
And post a wider angle pic of the leak, correct side up.
Maybe the valve is leaking? - See above.