PROOF OF FACTS: Government Style Manual “state”
The U.S. Government Style Manual, 2016 Edition, on p. 32 says the following:
So a LOWER CASE “state” refers to a LEGISLATIVELY FOREIGN state. This is entirely consistent with the capitalization conventions listed in:
Sources of Extraterritorial Jurisdiction, FTSIG
https://ftsig.org/civil-political-jurisdiction/sources-of-extraterritorial-civil-jurisdiction/
You can find the above manual at:
Style Manual, U.S. Government Printing Office, 2016
govinfo.gov/content/pkg/GPO-STYLEMANUAL-2016/pdf/GPO-STYLEMANUAL-2016.pdf