Unfortunately you are looking at a wrong definition.
I suppose you are referring to this one under the (final particle) section in the entry:
> ****
But the correct one is under (noun) which is way below:
> ****
> ⋮
> …
So the basic construction is the following.
>
> _I used to build castles for fun._
And it seems to be rarely taught, but there are final particles that hides the copula and those not. is the former, that's why you don't see in that sentence.