I’m not American or weighing in on this, but I don’t think country is a legal term nor mutually exclusive with being a territory. England is a country despite being governed by the UK. Greenland is the same.
If we look at the wiki for Country
A country is a distinct part of the world, such as a state, nation, or other political entity. When referring to a specific polity, the term “country” may refer to a sovereign state, states with limited recognition, constituent country, or a dependent territory.[1][2][3][4] Most sovereign states, but not all countries, are members of the United Nations.[5] There is no universal agreement on the number of “countries” in the world since several states have disputed sovereignty status, limited recognition and a number of non-sovereign entities are commonly considered countries.[6][5]
The definition and usage of the word “country” are flexible and have changed over time. The Economist wrote in 2010 that “any attempt to find a clear definition of a country soon runs into a thicket of exceptions and anomalies.”[7]
Again, I am not making a claim about whether PR is a country specifically, just that being a territory does not disqualify it.
After the pump comes the dump