Did a final and irrevocable divorce occur to the wife in the aforementioned cases, and is it permissible to take her back?

You must be cautious about ridiculing the rulings of Allah. Swearing by divorce is among the oaths of the wicked. Your divorcing the woman four times makes her unlawful for you according to the majority of scholars, including the four schools of thought. Thus, she is not lawful for you until she marries another husband, and then he divorces her after consummating the marriage. As for the view of Ibn Taymiyyah, divorce during menstruation does not count, and conditional divorce intended as a divorce is effective, and the last divorce is effective if it occurred during a period of purity in which no intercourse took place after reconciliation. In summary, the woman is irrevocably divorced from you with a major irrevocable divorce according to the majority, while according to the view of Ibn Taymiyyah and those who agree with him, she is not irrevocably divorced from you with a major irrevocable divorce.