At a minimum, it would require Obama to have gone to an embassy in a foreign country, and then fill out paperwork and swear he was renouncing his country. The State Dept would have it on record. Ultimately, the courts would have to agree that Obama was able to make that decision freely and knowingly. I haven’t heard of it ever being allowed for a minor. It certainly didn’t happen at 7-8 years of age...or at 10.
So it’s possible he could have given consent for his mother to fill out the paperwork for him? What I am getting at is that we can’t rule out that his mother and Lolo could have taken him to a embassy/consulate and told little Obama on the side to renounce his citizenship. At that age, Obama would have listened to his parents. Lolo could have set it up. He or Obama’s mother could have had contacts there for all we know. After all, Obama’s mother is documented as wanting to stay in Indonesia indefinitely with her new husband. Again, none of this can be ruled out.