@IronGiant : IME it helps when dealing with your local Toyota dealer is if you bring in the part number, maybe even print out a diagram
of the system where the part is located. IME it depends some on the person at the parts counter ie: if they're busy or inexperienced they may not have time to look it up, so anything you can do to help them find the part will speed up the process.
But to find the part numbers you first can go online and search Toyota parts web sites, One of those is Partsouq.com. You can go to that site, type in the VIN of your vehicle (VIN sticker is located on the driver's door close to the lock/latch) then search for the system and the part numbers.
IME if you're nice to the parts counter guys (ie: don't be a dick) and make their lives easier by bringing in the part numbers they will reciprocate and maybe after a few orders you can ask about a discount once they know your face. An advantage of ordering locally is you usually get the part the next day and if there's any issue you can return the part at the counter without having to ship it back yourself.
You could order from Partsouq but with the Tariff situation it might be easier to order locally or from a US supplier until all that gets straightened out.
Supporting any of the MUD vendors is always a good thing as they often can find parts others can't.