Cash out refi raise property taxes?

[Nicholas Baughman]

So, I'm in the process of doing a cash out refi on my VA loan. We bought our property at $330k and (depending on appraisal) is worth $600k. The property is taxed assessed at $357k. Does the refi now make the assessed taxed value at whatever the appraisal comes in at? Or will it remain the same until it changes ownership?