The king knows it's all over. How can they defeat the United States Navy, when Atvatabar doesn't even have gunpowder?

There is unconditional surrender. Lyone is made the new queen of Atvatabar, and I am beside her as the king.

I am king of Atvatabar! King of a new world! How should I use this enormous power?

Should I begin active trade with America, uniting our two worlds as quickly as possible? Or take things as slowly and carefully, taking months to make each decision? Or do something else?