

I may have done a dumb thing, how do I fix it?
I replaced the water outlet housing yesterday which had been leaking for a long time already. Looking into the engine bay below that I could see a lot of old antifreeze down there so today I took an almost empty bottle of dawn and filled it up with water to dilute the soap down, then sprayed it down onto the old antifreeze and then immediately used a power washer (well above the spot so not high pressure up close on the area) just to hose out all the old grime and soap. Now that I’ve been driving at work all night third gear is really having an issue getting into gear. It wasn’t having this issue at all before so I googled and it’s says I may have washed away the lubrication on the cables for the gears and suggested white lithium grease to relubricate them. My question is where exactly do I spray that? Pic to show the cables