This is simplistic to the point of absurdity, and doesn't model how any sensible wealth tax would be implemented or paid. First, any wealth tax being seriously discussed has a floor and/or has marginal rates, probably starting at 1 or 5 or 10 million (or higher). Second, taxes don't disappear into nothingness - they pay for civilization. It is clearly beneficial to everyone to live in a society where people are well…
Modern monetary theory disputes this commonly held idea that governments need to collect tax before they can spend it on public works. On the contrary, government creates money to pay for public works, which leads to money in circulation, and in turn allows tax to be paid. The purpose of tax is to redistribute wealth and lead to harmonious society.