How to unlock all hats in Sushi Party?

There’s a game browser game that I’ve been playing for a while. It’s called Sushi Party

There are certain hats that seem unlockable no matter what I do. The hats I’m referring to are as follows:

No matter how many pokimon-type balls I gather, the result of opening them is the following:

Any suggestions if, by any chance, you have played this game before?