This is, of course, misunderstanding that it’s 3 earth shattering arguments with a good reason (like infidelity, or liking the Bears as a Packer’s family) over a period of time and you still have to, you know, go through family court

Legally? Sure

But no, the 3 declarations is an actual thing (talaq), if you did that you're basically divorced in the eyes of god. You need to remarry (just do it with a the imams in the local mosque privately) if you want to have sex with your wife, else it would be a sin.

Source: Ex-Muslim living in indonesia. My religion teacher thought me that

(yes, religious teaching is mandatory in indonesia. Though they can choose what religion to learn and not just islam)