It's good in paper but it's more complex at it seems, you need full cooperation for public and private sector so most likely they will clash in the end. Plus will government allow that kind of setup? I don't think that they would allow old and traditional just run over by crypto is this is what you are trying to drive out here.
That's being said-
“Everyone can create money; the problem is to get it accepted“--
Hyman Minsky.
If there's no tax, how do the central authority will develop the country? Who will fund them?
As this Minsky guy said, everyone can create money
But apart from everyone else, the central authority (otherwise known as government) can also force their money into acceptance by the local populace. That technically means they have a sufficient leeway in how much they can print and that basically answers your question. The government can fund their expenditures by simple money-printing (it is called an inflation tax, for the inquiring minds). Indeed, there are limits to this effort but any government at some point had been doing exactly that in the past, and there is no reason to believe that they won't in the future. Such is life and then they start the printing press