AAFC doesn't do "courses", their course prices are just totaled numbers from their rental feet - you will pay for the plane per hour, and CFI by the hour. Total cost depends on how much time you need dual/solo. $4220 is impossible.

You need to buy 4 10hr blocks of the cheapest plane they have, that's $3560 and just so you know, they only have one plane at that rate, and it flies a lot.
Then you need to pay your CFI, they are independent contractors and set their own fees. Minimum realistic CFI time is 30 hours, average is 40 per hour (some charge 50, some 60 there), that's $1200. Now you're at $4760. DPEs start at $450 for private, plus 2 hours of plane rental. That's $700. Now we are at $5460. Written test is just under $200, $5700 total now. Medical exam, call it a few hundred. You are now at $6000, give or take a few.

And this is with the absolute bare minimum hours and instruction. At KDAB especially with E-R in season, you will NOT get it done at 40 hours unless you are extremely lucky, somewhat talented, and work full time at this project. You'll waste countless hours waiting in line to do patternwork. And to get this price, you need to have almost exclusive access to the only airplane that you can get for this rate at AAFC.

Be realistic when you start it, you'll need 7000-8000 to be comfortable at minimum hours, and if you have a few setbacks, that won't be enough.

Good luck. You can do it, just be realistic with your goals and budget.