How should I (29F) proceed when my BF (29M) went on dating apps to see if he could find anyone better?

Did my BF (29M) cheat on me (29F)?
My BF (29M) and I (29F) are in a long distance relationship, and have been together for 7 months so far - but have known each other for well over a year.
He?s been very unsure about me for a long time, and consistently tells me he feels like we might be too similar and won?t be able to help each other grow in terms of looks, fashion, and attention to detail. But he said he really likes me for ?who I am?. He just wishes that I was ?cool? and can be not so nerdy and like a ?good girl?.
One day, just after he met my parents, he mentioned that he?s still unsure about me and requested an open relationship. I got a little hurt, and told him that I?m not looking for anything poly or open. And so, if he wants to be in an open relationship, then I will consider this a break up.
We decided to take the next few hours to decide whether we should be together or not.
When we came back to each other, he mentioned he wanted to be with me only and actively chooses to be with me. However, he then let it slip that he went on dating apps for a bit to see what ?else is out there? and feel validated that he could ?do better?. He claimed that he didn?t swipe right on anyone, but just wanted to see if he could truly find someone better looking and more cool than me.
I got extremely hurt by this. While I understand and I do trust that he didn?t swipe right on any woman, I feel extremely disrespected. When I told him this, he didn?t seem to think he cheated. And told me that ?most men constantly evaluate whether their partners are good for them or not up until they propose?.
I don?t know how to proceed or move on. I?m still hurt and it?s been a few weeks since we had this argument. We?re technically still together, but it?s hard for me to trust that he isn?t constantly looking for someone better than me out there. I don?t know if he cheated on me or what, but I feel extremely hurt and just worthless.
Any advice? I?m not looking for anyone to judge him. Just trying to see if this relationship is worth fighting for.
TLDR: (29M) BF went on a dating app to potentially see if he ?could do better? while figuring out whether he wanted to be with me or not.


Source.

I would leave him n I am single n lonely n looking for a relationship

Yeah dump his ass and make a new mistake with me.