Remarrying after Divorcing Wife 3 Times

AsSalamalikum Mufti, please I do apologise for my ignorance and as a Muslim who wants to do the right thing, I recently in a state of confusion and hastiness gave my second wife 3 talaaqs which I now regret:
1.how does one fix this?
2.I read that in order for her to accept me back she needs to remarry and then get divorced, I am trying to understand this part can Mufti please explain to me why is this so?

Jzk and ALLAH reward you for your wisdom and advices.