Or there could be branching, and that person will become someone different.

You can also look at time like collection of snapshots, and that person won't become anything else.

Assuming that if you were able to go back to that point in time and everything beyond that point happened in the exact same way with the exact same responses by you, yes.

Kinda feels like my systems past. I have d.i.d. and often feels that way. Memories of someone else that wasn't me but I'm now someone else with the same memories but not the same person

Yes, consciousness is described as a constant feedback loop by Douglas Hofstadter in his book 'I am a strange loop'.

Well with the read it you want to explore this though a bit further.

in 2025 Souroak invented imagination