Question

i think it was because he still had a role to play, Armin had inherit the colossal titan

i think it was that time when the walls were destroyed, bertoldt return back from his human form and there were titans behind them. dina (titan) was supposed to ate him but eren ordered her not to then that was when dina ate eren’s mom (sorry for my bad english and this is just my understanding)

because if Dina ate Bertholdt Armin would have died that time he got burnt, at least that’s what I think
but in the end it doesn’t really make sense since he almost died cause of Bertholdt so I’m not sure...

So his attack on titan power does not only able to foresee the future but also control things happened in the past?

yes cause he also owns the founding which controls all eldians