It won’t break.
You can check this here:
The package has a “Provides” field, which is another way to say that “if something requires the package in this field, then this package will also suffice”.
So cachyos-gaming-applications will recognize the bin package as well as the old one that you have installed currently.
I would also suggest installing the bin since you’ll once again get updates for it. Which is of course pretty important for an application like that.