Count your blessings that this is just a minor inconvenience and not something like a severe blowout with damage or needing a tow; or a nail in a brand new tire you just put on.
Anyway, sounds like you're probably already got it resolved, but I think you could've limped along with a temporary repair (or full size spare?) for a few days until the specific tires you wanted came in, or at least the rest of summer/fall if you wanted to wait for a sale and have fresh tires for winter.
On costco, if you were hitting up to a sale deadline, I think you could've worked with costco to get you the discount based on EITHER the purchase date or the delivery date, if the savings was that substantial...the screenshot seems to be ready for you to check out with the discount.
My last 2 cents if we're shooting the breeze; even though it has 5years, 47k miles and a potential patch;
I think the 5year old worn CC2s would outperform the OP's new 3season choices (Nokian One or Tour A/S) for skiing conditions. One of the biggest selling points of the CC2 is it provided winter traction via the deep V grooves and would still perform even when worn...there was some article and youtube confirming this. On the CC2, siping was always minimal so it never had great ice traction to begin with; but still better than a non-3pmsf tire just from the compound.