Husband says this is not considered cheating, I feel betrayed

My husband admitted to having a crush on his coworker for a couple of months. During that time our marriage was in complete turmoil, we are newly married. He was rejecting me in all ways, physically and emotionally, and mostly refused to communicate with me about the marriage. Allah knows I tried my best in every way to compromise to his dry, hot and cold behaviors and and try to communicate to understand what was happening. He threatened divorce for the first time and it shattered my heart because I was confused where it was coming from, and since then he has been forcing himself in this marriage for months. He claims he has a super avoidant personality, but I believe he legitimately hoped to have a chance with his coworker. Here are examples that I believe constitute as emotional cheating but he is refusing to accept. 1) admitting on having a crush on his coworker, 2) buying chocolate for her and giving it to her specially, 3) staying longer at work to spend more time with her, 4) texting her about his days, 5) spreading a rumor at work that he is separated from me so he can have a chance with her, 6) cooking food for her and lying to me that he ate it with his other friend, 7) deleting her contact name from his phone so I wouldn't know. , 8) telling his friends he's sad the girl is now taken/engaged.

What do you think? Is considered emotional cheating, considering he is a Muslim married man? I married him for the sake of Allah and tried to mend things at every point but he is not taking accountability for the cheating.