30 minutes.
If you can call directly from your phone in the US, this works to get all the way through:
*67 (613) 944-4000,1,,,1,,,,,1,1,,,,,,,,,,,,,,,,,,,,,,,,,,,,2,1,1,0
You can set that string as the number for a contact called IRCC or whatever and then just tap one number and get straight through in 2 minutes.
At 2:08 in the call, you will either be in the queue or told that you must call back later. If you're told to hang up, you can just use that dial string and it makes it easy and painless to retry over and over.
PS - The extra 1 after 111 is to make it shut up about "you will now be transferred to IRCC blah blah blah".