Well, that's problematic. You could talk to TurboTax Support, but they'd might just tell you to get a refund for the Costco desktop product you purchased and use the website. Or maybe they would work something out. But the Online site often costs more and is a lesser product.
Why do you want to use the Online website version instead of your desktop product?
The online Deluxe product is not as fully-featured as the desktop Deluxe. Online Deluxe cannot prepare Schedule D,E,F, or a Sched C with expenses. It cannot enter a K-1. Desktop Deluxe can handle all those forms.
The Online products do not have the popular Forms Mode and a state return is extra 36.99 (39.99 later in filing season.)
The Deluxe Edition you bought from Costco may or may not include a state program. It comes in 2 versions--one that is Federal-only and one that is Federal and State. In the desktop products, there is a 19.99 state efile fee (or 24.99). There is no state efile fee for New York. There is no fee to print and mail a state return.
If you already started an Online return, however, we can tell you how to
download the *.tax2016 data file from your online account so you can
continue it without having to start over. I can give you more info on that, or how to reach TurboTax Support, once I know what you want to do.