This is the 856th most frequent Polish word.
własnych
"Own" (possessive, plural, genitive form).
In this sentence, 'własnych' means 'own' and is used as an adjective referring to 'supplies,' suggesting possession or control by Ania.
Ania używa własnych przyborów do rysowania.
Ania uses her own supplies for drawing.
Here, 'własnych' also means 'own,' referring to 'wards,' and denotes personal responsibility.
Pamiętaj o odpowiedzialności za własnych podopiecznych.
Remember about the responsibility for your own wards.
In this context, 'własnych' conveys ownership and autonomy, describing thoughts that belong to the subject.