According to the new company law, a limited company may have an executive director instead of a board of directors. It is not feasible for you to have an executive director and a chairman. The chairman is the legal representative of the company, elected by the members of the board of directors, and is the convener of the board meeting when the board of directors is established. Without the board of directors, there would be no chairman. The executive director is the legal representative of a company without a board of directors.
I don't know if you are satisfied. I wish you an early boss.