Ah yes! That’s a great little hybrid. This plant, no?
It was winter and I assumed it would drop all it’s pitchers and go dormant. However its leaves are also a bit brown.
In cooler times in nature they don’t go dormant, they just make less pitchers.
Here’s my suggestions
Let the medium get almost dry between waterings
When it does, fill up the tray and let the water be absorbed or evaporated.
Move it to an east facing window, or outside during spring
Maybe it needs more light. New Zealand has a fairly tropical climate IIRC so outdoors in the spring might be a great idea. Here’s an interesting read about light.
If you tap water has a PPM above 50, repot
I don’t think you’ll have to do this as looking at your governments legislation the water is a lot better than some parts of America.