But before that we see that the development of what is now New Mexico as a modern state began in 1598 ~ the year King Philippe I/II and Queen Elizabeth I died ~ as did the opening up of Nova Scotia. Both places saw "the first Thanksgiving"
An age passed and a new order arose. American's have nothing to be ashamed of in their invention of themselves ~ "one from many".
The Treaty of London has nothing to do with the establishment of the US. It ended a war between England and Spain. It did NOT settle America, nor did the Spanish - apart from the deep south coastal areas & in a very minor and unimportant way my own southwest.
And Spain did NOTHING but suck wealth FROM any place they colonized.