By the way, the US does not demand that a naturalized citizen renounce their native citizenship. They can if they wish to. I believe that is where you're getting that oath. That's the oath a naturalized citizen gives if they wish to renounce their native citizenship.
Some foreign countries make you renounce your native citizenship if you become a citizen of a foreign country. Slovenia is not one of those countries. You may keep your citizenship there if you wish and become a naturalized US citizen as well.
"U.S. law does not require a U.S. citizen to choose between U.S. citizenship and another (foreign) nationality (or nationalities). A U.S. citizen may naturalize in a foreign state without any risk to their U.S. citizenship."
"U.S. law does not impede its citizens' acquisition of foreign citizenship whether by birth, descent, naturalization or other form of acquisition, by imposing requirements of permission from U.S. courts or any governmental agency. If a foreign country's law permits parents to apply for citizenship on behalf of minor children, nothing in U.S. law impedes U.S. citizen parents from doing so.
By the way, the US does not demand that a naturalized citizen renounce their native citizenship. They can if they wish to. I believe that is where you're getting that oath. That's the oath a naturalized citizen gives if they wish to renounce their native citizenship.
Some foreign countries make you renounce your native citizenship if you become a citizen of a foreign country. Slovenia is not one of those countries. You may keep your citizenship there if you wish and become a naturalized US citizen as well.
"U.S. law does not require a U.S. citizen to choose between U.S. citizenship and another (foreign) nationality (or nationalities). A U.S. citizen may naturalize in a foreign state without any risk to their U.S. citizenship."
https://travel.state.gov/content/travel/en/legal/travel-legal-considerations/Advice-about-Possible-Loss-of-US-Nationality-Dual-Nationality/Dual-Nationality.html#:~:text=U.S.%20law%20does%20not%20require,risk%20to%20their%20U.S.%20citizenship.
"U.S. law does not impede its citizens' acquisition of foreign citizenship whether by birth, descent, naturalization or other form of acquisition, by imposing requirements of permission from U.S. courts or any governmental agency. If a foreign country's law permits parents to apply for citizenship on behalf of minor children, nothing in U.S. law impedes U.S. citizen parents from doing so.
https://www.usa.gov/dual-citizenship
You really should check out these links. You'll learn quite a bit.
That's the US government saying it. Not me.