This is the Golden Triangle tour, held in Alberta each May. I've done it twice.
Golden Triangle - Sat, May 21 2016, Sun, May 22 2016, Mon, May 23 2016
When you register, they send you a package of what to bring. Have you received your package yet from the tour you're doing?
Nevertheless, the basics are:
-- a tent. If you're going with 2 people and going to share, get one that is for 2-3 people so you've got room to breathe. But get one that packs down small and is fairly light. These tours often have weight limits on the sagged luggage
-- an inflatable mat like a Thermarest or even something thicker. Foam is not good. You won't mind foam on Day 1 ... but by Day 2 you'll be regretting that decision. The thing is, you want a comfortable night's sleep.
-- a down sleeping bag
-- a decent pillow set-up.
-- something along the lines of a sarong. When I camp, I'm often warm, so I sleep on top of my sleeping bag, on top of my mattress, with my sarong over me like a sheet. But I can also use it as a pillow cover or a dress when I'm doing laundry.
You don't need to change clothes every day. You can even wear your cycling gear a couple days in a row ... just air it out overnight, don't bunch it into a corner. For a week, I'd bring something to wear while sleeping, something to wear around camp after the ride, and a couple pair of cycling shorts and jerseys.
I don't know if there will be laundry available ... that info should be in your tour package.
Toiletries in ziplock
Yes, of course you absolutely must travel with your own towel
Have you not read Hitchhikers Guide to the Galaxy?
No ... I use the tent cords