I would not soak the switch in water, soap, etc. They make products specifically for this type of thing for fast and safe results so you don't have to worry about leaving to dry for hours or risk corrosion of the contacts , etc.
+1 on the suggestions from
@bman400 and
@TTiimm for the use of an electronics contact cleaner. CRC , WD-40 and others make them. They are fast evaporating and safe for most plastic materials (make sure to check the manufactures instructions).
Another alternative is simply using isopropyl alcohol and a Q-Tip. Let a little bit at a time run into the joints and rock the switch back and forth. Contact / electronic cleaners are usually alcohol based (perhaps with some petroleum distillates.
I like this alternative because I can still apply while the switch is installed and these products will evaporate very quickly. Again, take necessary precautions as these products are typically flammable.
This is my course of action typically and in fact, my wife had the same exact problem on her 2020 although I used an interior cleaner at the time (not my first choice) which was also fast drying. ......same concept. I have also used steam which is what some detailers do as well to clean crevices, seams, vents and switches in interiors. It helps break up the gunk that collects in these small spaces. .....followed with a towel.
As mentioned earlier, I typically do this while the switches are installed, only resorting to removing if the initial cleaning doesn't work. Again, these products are fast evaporating / drying so it's a quick process. The electronics sprays usually come with an applicator straw so it easy to make sure the product goes where it needs to. I would just be ready with a damp towel to clean the surface if you're concerned about a possible reaction with the switch surface.
Again, these products are usually flammable while wet (before they evaporate) so take any necessary precautions like disconnecting the battery if you are not removing the switch(es). I don't but I wouldn't suggest others do the same. However, I'm also not saturating the mechanisms. Just a little bit at a time, let dry and do it again until the switch moves freely.
As for the dealer, I have doubts they would even go as far as removing the switch for cleaning other than to replace it. I have a feeling they would likely do the same thing or similar to what I'm taking about. Spray the switch with cleaner, break it free, wipe up and call it a day.