Would it be wrong of me to ask the guy I'm dating if he'd consider dating his friend?

I'm new to dating, I don't want to be toxic, or controlling, or do something unfair and I'm struggling to understand what is and isn't okay to ask in my scenario.

The guy I'm dating has a male friend. I don't know the friends sexuality but the guy I'm dating is into both men and women. The guy I'm talking to told me his friend recently found out through a mutual friend of ours that my guy is talking to me. The second he found out he called my guy, woke him up, and asked him if he was cheating on him. This guy also buys him a ton of stuff, has a 'joking' pact that they'll get together if they're both single at 30, and my guy has told me before that he's not sure if the guy is being serious or not when he flirts with him.

I got upset about this and we had a long talk where he told me he thinks the guy likes women and the pact was just a joke and a lot of his friends flirt with him. But it feels like a lot with this specific guy. Am I allowed to ask him if this guy confessed to him if he'd consider getting with him? Is that unfair?

Would it be wrong of me to ask the guy I'm dating if he'd consider dating his friend?
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