How to fix Acura rxs type s 2002 cruise control

Check for a blown fuse or a bad vacuum line to the actuator pod.

there is two sets of fuses on this car i think. The centre console lights are on fuses inside the car under the dash, is your interior light not working either?

Check your fuses. and the vacuum lines leading to the cruise control module. inspect the wires

check the cruise control actuator,cable.also, relays and switch,fuses.

Does the cruise control lights come on when you select it? If it doesn't then you may want to check the fuse(s) that give the system power. If the fuse is blown then try replacing it. If it blows again when you try to use the cruise control then the unit it self may be bad and need replacing. You can find the fuse box location and the right fuse for it in the owners manual of the car.

try use a code scanner to clear the code p0172,
maybe this tool can help you.

Cruise controls can cease to engage if the clutch or brake light cruise switch are out of adjustment. If this happens, try placing you foot under the clutch pedal (if equipped) and lift up on it (toward you) and hold it while engaging the cruise. If it now works, it will likely cut out when you remove your foot from under the pedal. Check the brake pedal in an identical fashion. Adjusting the switch at the pedals can often solve he problem. Some vehicles (Honda, Acura, Ford, to name a few) have a plastic insert that mounts in the pedal arm which presses against the switch. These can become brittle and fracture into pieces. My Acura has little pieces of blue plastic on the floorboard around the brake pedal one afternoon and I noticed the cruise didn't work. It was the pieces of the insert that had come to pieces preventing the cruise from coming on. I replaced the insert and no more problem with the cruise.

check under hood for other fuses or relays

before replacing anything, check the cruise control fuse under the dash and under the hood the fuse box under the hood should be close to the battery

It sounds like the computer system is still wet. I would wait a few more days before I panic and hope that it drys out. I don't think it's a fuse.
If you have to have the onboard computer replaced, it can run a couple of hundred dollars.
If you have the engine cleaned again, make sure that the electrical systems are protected well otherwise getting them wet will repeat your problems.