I haven't read the WN so all the following is just based on what has appeared on the manga and speculation. As far as Ed knows so far, this time is supposed to work exactly the same way as last time, just with the skills and memories from the previous "run". In one of the previous chapters he mentions that he will hide his full abilities so that they still kick him out at some point.It's been a hot minute since I read the beginning of the series, but does Ed actually need to be kicked out this time 'round?
This is his NG+, essentially, and it's meant for him to correct what went wrong after he got kicked, so it stands to reason that he should be able to "complete" each world, as it were, before moving onto the next one.
Unless it was possible since the very beginning to unlock the next world by completing the previous one and he just never did it because getting kicked was faster, he should still need to get kicked to go to world #2.
I guess his plan so far is to re-do everything the same way, but giving the heroes of each failed world even better chances than last time (like he just did here by getting the real holy sword), and once every world is completed, he will be able to return to world #1 10 years into the future like he did in chapter 2, but with a happy ending this time around (tho I don't think that is how things will turn out because aint no fucking way Tia gets shelved for the rest of the entire story after world 1).