Do the three divorces issued by the husband in a state of extreme anger count, given his uncertainty about his intention, and is his wife considered lawful to him after these events?

Divorce occurs with explicit wording without the need for intention, even from an angry person, as long as he has not completely lost his mind. Since you uttered explicit divorce three times and did not lose your mind, three divorces have occurred, and your wife has become irrevocably separated from you (baynunah kubra). You must separate from her immediately. She is not lawful for you until she marries another man willingly, he consummates the marriage with her, and then he divorces her or dies, and her 'iddah (waiting period) from him expires. It is advisable to present this issue to trustworthy scholars.