The only thing you will be reassuring her of is that you are a man of integrity. That's attractive.
It's good you are out and about and busy. That keeps her guessing. But her being jealous isn't love, it's insecurity.
You want your w to come back because she loves you, not because she doesn't want another woman to have you, right?
If you become a man only a fool would leave, then other women will find you attractive as well. There's nothing wrong with that. Just don't give the impression that you are dating them.
Regarding her thinking you are emotionally attached, that's proven through your actions, not words.
Stay busy, be cordial when you see her, don't take the bait when she lays a trap for you. That's attractive.
