Is my (22F) bf (24M) cheating on me?

Hey y’all, it’s my very first time sharing my story here but i feel like i really need help.
Sorry if my english isn’t perfect, it is not my first langage.

So let’s start with the story…
My bf (Heterosexual male, 24) and myself (Bisexual female, 22) have been together for 2 years now. He is an entrepreneur and i work in sales. We decided to move out together 10 months ago.

Our relationship has never been easy, he struggle with hysterical issues and communication is poor. But if something was good between us, it was sex.

Because we are very open about our sexuality, two months ago we decided we wanted to try a threesome with another girl. We discussed it a lot before going for it. We set boundaries so that no one gets hurt in the process. One of my biggest boundary was that i absolutetly needed to be aware of every connection he might have with another girl. If there was text i needed to see them, same for pics etc… And vice-versa.

We downloaded dating app and connected with a girl we both like, she came at our place and we all had a very good time. As much as we invited her over a second time.

Then we naturally took distances with her and the life goes on. We still both have dating app but don’t really uses them and we don’t really speak about redoing a threesome.

About a week ago, my bf came to me asking if i was down for a threesome again with a new girl, i explain to him that i’m not really in the mood right now and ask him to wait a couple weeks. He says he is ok. But surprisingly two days later he proudly show me his phone saying « look who i match with » and on the screen i see a tinder account of a girl. I reply that like i said i’m not in the mood rn and to be honest the girl he matched with isn’t really my type. He looks disapointed but says ok and go back to his occupation.

And here is the climax. Yesterday, so two weeks after the last evenement, my bf came to me saying « Hey, remember the girl i show you on tinder last time, we exchanged hot text and she just sends me pics, do you want to see? »
He gives me his phone and the first thing i see is b00bs and much more. It was on snapchat so i close the picture and openend the convo. Except there’s nothing in the convo cause he set it to be erase after 24hours.

So for a week or more he talked to this girl every day behind my back, probably sending her hot text even tho he KNEW FOR A FACT, that not only i didn’t wanted to redo a threesome now but also that i wasn’t interested in her.

Do you consider it cheating?

——-

TL;DR : My bf talked to a girl behind my back using the excuse of us wanted to do a threesome even tho he knew i wasn’t interested in her. Is it cheating for you?