How do I (m27) talk to my (f34) about if we’re going to see other people yet?

We were together for 2 amazing years, and recently broke up due to some mental health issues on my end (had a family death and couldn’t give her the energy she deserved). Recently I’m feeling like myself again and we’ve been hanging out more and more. The thing is; she keeps saying “I love you” and “in a few years after we figure everything out I hope we come back together”. I didn’t expect this cause I assumed she might be seeing other people by now. As far as I know, she’s not (and neither am I because I’m still so in love with her).

I’m okay if she’s seeing others, but I’d like to cool it with the “I love yous” and things like that if she is. We still see each other but our plans are not the same atm, and in a few months I’m moving away for work and so we’ve decided not to be officially together to avoid further heartbreak down the track.

I’ve suggested going NC because I find it so hard to see her and not be with her; plus I can’t see myself moving on if I’m still saying these things to her. But the thought of going NC breaks her heart she says and tbh I feel the same. She thinks the idea of stopping to say I love you is silly because it won’t change the way she feels… but in my head it would help us both. Do I have a right to ask if she’s seeing other people yet then?

If she is, then I feel like it might be a weight off my emotional shoulders and I can move on too - and hopefully start seeing her as ‘just a friend’. My friends also tell me that it’s none of my business what she’s doing, but the way we act around each other still, I feel like I have a right to know? What should I do?