I would forget any rehabilitation of the left lever. Every RX100 set up I've seen in the past 20 odd years at least one lever (usually the right) is beyond saving. You're lucky it's the left. Too many plastic parts inside I've heard. Below Shimano 105 in 7 or 8 speed groups, the quality was never there from the get go.
Up thread is good advice, strip out the insides and use it as a brake lever and mount one of these on your down tube boss. They come indexed, but you can use them friction only also. Gets you all your 21 gears back for a couple of quid.
I've known several people take these apart and "degrease" them, only to have it bugger up again within a week or so. It's not worth the hassle for what it is. It's not the grease , it's just at the end of its usable mechanical life. It's worn out, and that's the top and bottom of it. A left lever like this will give you full functionality with years of service in your triple set up for a very small investment.