If central banks want to make their own crypto digital currency, it must need permission from the local government and clarity on what functions and benefits are for and more stability in which direction
it's a must and the government knows what will be done by the central bank by issuing the digital currency. The central bank will always try to discuss it with the authorities.
Central bank will always get permission from the government too.
There's no need to doubt about that. Central bank will issue a product that will be fully tested and fulfil all of the regulations.
It seems plausible, but all the trials will certainly not be immediately applicable to all sectors of the economy. Central banks must properly assess the results and benefits of using crypto, as well as the negative impacts of using it before governments can actually issue regulations.