Hii everyone! I’ve been playing The Krusty Cook Off game and just had a question!

So I bought into the Krusty Cook Off hype and got the game digitally on the switch! It’s super fun until I got to Kelp City levels and realized you have to buy the game physically to do those levels! I was wondering if I get the game physically will the progress I’ve done transfer to the physical game so I can just have everything done like in the digital and just enjoy the DLC levels?? Or does it not work like that sadly