He (M26) cheated on me (F27), can it workout afterwards?

My boyfriend (26M) and I (27F) have recently been experiencing more frequent arguments. During my visit to see him last weekend, I discovered that he had been engaged in an ongoing text conversation with another woman, likely since we began dating seven months ago. To my dismay, I found explicit messages between him and her, with the last message exchanged on Thursday. I couldn't help but notice that during that time, I had been trying to reach him, but he was unresponsive.

Confronting him about this discovery, I asked for the truth. His explanation was that she was just a "friend," and their interactions were meant as jokes. However, their messages included the sharing of intimate photos and conversations about what they would do to each other.

My anger persists, as this situation reminded me of a similar incident two months ago. During a trip, her name appeared on his phone, and we had a heated argument. I made it clear how uncomfortable I am with flirtatious interactions and friendships of that nature, yet he insisted that I should trust him because she was just a friend.

I asked if this other woman was aware of his relationship status, to which he replied that it never came up. He maintained that they were merely friends checking in on each other. I pointed out that he had ample opportunities in the past few months to clarify his relationship status to her but chose to keep their relationship hidden from me.

I vividly recall a particularly painful argument during our trip, when I broke down in tears. Despite my emotional distress, he ignored me and continued texting, only for me to later discover that it was her he was sexting, all while I was right beside him, crying.

I reached out to the woman and I told her that he was with me while talking to her. I asked if she could clarify things for me as a women to woman. I was not angry at her and I told her that, she immediately blocked me.

He has since deleted and unfollowed her and blocked her. He said he knows what he did is wrong and that he wants to move forward and show me that he does love me. He said that he will do anything to gain a little of of my trust at least. He show me how much I mean to him and so forth.
I was angry and sad and still am. I find myself questioning if anything was real. I cant eat, I cant sleep and i have flashbacks of the conversations that "I want to cuddle with you" I want to kiss your body" "Good morning love" so many more that hurts me.
I told him that while he was building a connection and building a relationship with her her was destroying us and me.

I love him and wish to move forward, but I'm currently feeling shattered.