Since the US Constitution is the supreme law of the US, please site in the constitution where “The citizenship laws of all nations has play in a citizenship determination.”
Let me give you a hint - you wont find it.
What you will find is Article I Section 8 gives/enumerates EXCLUSIVE authority to Congress to set the rules of naturalization. That includes who is a citizen at birth and does not need naturalization (naturally born a citizen).
The constitution say who is a citizen of the US. If one is going to make a citizenship determination under US law, the constitution is one source of law, but not the only source of law. There are literally thousands of cases in US law on the subject of citizenship, when citizenship is in question. The determination of citizenship in those cases looks to citizenship law of other nations.
Your error, and you are hidebound to it, is to believe that as a matter of law, naturalization requires participation in a naturalization ceremony.