In his eyes, solving it requires your independence. As long as he feels that you are too heavily influenced by your mom and tradition, he will keep getting mad.
This will often lead him to act out of emotion just like he just did in returning the bracelet.
Returning the bracelet doesn’t mean that it’s over.
In returning the bracelet and telling you that he won’t visit for 3 months, he is trying to spur or even scare you into taking action to become independent.
All of this emotion that he exhibits is often an indication of investment. He has invested in you emotionally to an extent and to that effect, it will be hard for him to stay true to his word.
Due to this kind of emotional investment, he will most likely want to visit you a lot sooner than 3 months.
As of now, he has no intention of letting you go.