I don't have a cat
You do now, and it's beautiful
can it also mean "my beautiful cat"? or would it need to be "kucing cantik saya"?
My - beautiful cat =
kucing cantik - saya
(Noun phrase + possessive pronoun)
My cat - is beautiful =
Kucing saya - cantik
In this case, we don't have 'to be'. So you must be confused because of it.
My beautiful cat = Kucing cantik saya/Kucing cantikku.