Faucet is leaking a little bit

Can someone help me with this fix? This is a Kohler faucet set. The handle will occasionally leak a little when pouring cold water. I’ve tried to pop out the button circled in red and Google isn’t much help. Does this button contain a set screw to take apart the handle? I assume maybe the gasket is bad? Any help to point me in the right direction would be appreciated !

Can someone help me with this fix? This is a Kohler faucet set. The handle will occasionally leak a little when pouring cold water. I’ve tried to pop out the button circled in red and Google isn’t much help. Does this button contain a set screw to take apart the handle? I assume maybe the gasket is bad? Any help to point me in the right direction would be appreciated !