I don't think you have any options at T2. The DC website only lists lounges in T1 and T3.

Even beware of those. I recently tried to access the T1 lounge with my DC card and was told that Australian DC cards weren't eligible as they are issued by Citibank.

Needless to say, that was the final nail in my decision to close my account (other nails including poor and shrinking acceptance and the annual fee).