Do I stay or leave?

D day was 2 months ago and it destroyed me. He did the usual pleading, remorse etc. said he was going to change and work on himself and wouldn’t lie to me anymore. The lying continued for weeks, the porn stopped as far as I know (and I check everything frequently).

He’s been in therapy, working on himself, doing all the right things. It’s been a rough two months but we’ve been working to get to a good place. There have been multiple times in the past two months I’ve caught him in a lie and have told him if it happens again I’m gone…

However I’ve today caught him in yet another lie. It wasn’t even anything big, he hasn’t relapsed, but it was around his thoughts on the girls while we were on holiday. He said he lied rather than have an uncomfortable conversation.

I just don’t understand how he can keep lying “because it’s easier” when he knows the damage he causes. I love him so much, I can see the future together so clearly IF he stops all this bullshit.

Do I stay and potentially cause more damage to my brain, but potentially have the future with him, or do I leave and absolutely devastate myself today for future me’s sake?

I’m so torn, I love him and have been rooting for him so hard to get better, but I don’t know if it’s a complete waste of time.