Maybe definitions are important. Merriam Webster defines politics in relation to the government and nations:
https://www.merriam-webster.com/dictionary/politics

I found these definitions on Wikipedia:

Harold Lasswell: "who gets what, when, how"

David Easton: "the authoritative allocation of values for a society"

Vladimir Lenin: "the most concentrated expression of economics"

Otto von Bismarck: "the capacity of always choosing at each instant, in constantly changing situations, the least harmful, the most useful"

Bernard Crick: "a distinctive form of rule whereby people act together through institutionalized procedures to resolve differences"

Adrian Leftwich: "comprises all the activities of co-operation, negotiation and conflict within and between societies"