congratulations on your new conure! Love to see a picture.
While I can't know for sure the issue. It does from your description sound like a Hormonal behavior. Is the regurgitate creamy and white? That's typical for a regurgitate that would be Hormonal or practice feeding.
Mine can do this to me an object or each other as binding family thing, or a Hormonal thing.
But regurgitate/passive or vomiting can indicate a health issue as well. Iv seen it it 2 birds with yeast infection . And had to treat them with medicine from the vet.
How do poops look? Formed fecal part with creamy thick urates and I my small amount of liquid is a typical normal stool. Poop watching is one of our tools.
Also weight checks are another. A digital kitchen scale set to grams works great. Check in morning after first morning big poop as a standard. You can just set them on scale snd hover hand above them. Or zero out a sturdy dish with a few seeds and then set them on or in that.
Most sick birds will start dropping weight. As it takes 3x times ( on average ) Metabolic rate to be sick so even whenever eat still eat can drop. But sometimes bring sick has them eating less as well. It a valuable early indicator and tool . Has been vitally important in my flock life.