You holding a local dip, so that's good. Pte dip won't weight that much over your local dip in gov sector. It would be better to build on your experience before joining gov sector.

On average, it will take about 4 to 5 years for 1k increment. Do the math.

With at least 8 years relevant experience and good track record, it will be possible.

Anyway, good luck in your exploration into gov sector.