I've read more of this than I should have (chap. 368). This isn't so much a novel suffering from plot holes as a plot hole with some plot tacked on. The amount of changes the author has made to power levels and abilities is immense. The worldbuilding is nonsense. How things stand right now, the royal family stays in power for absolutely no reason. Military might isn't it as multiple other armies are apparently equivalent to the royal one. The royals are apparently also bankrolled by another noble family. Somehow this family is rather weak as well even though power almost directly equates to money given how much ores help in training. So how's the summoning in this summoning novel? Given that MC is just NOW finally revealing she is a summoner publicly, who knows? Also, summoning is literally just forming a contract with as many creatures as you have elemental affinities. Not exactly interesting for a summoner based novel where summoners are these incredible legendary figures. Characters are a mixed bag. There are some good interactions between main characters that are fine. The problem lies with antagonists. I don't know why exactly this is a common problem with FL novels but the enemies are just aggressively stupid.

Are all the teachers in the entire academy stupid? 70% of the student body is under the influence of an incredibly powerful suggestion spell and no one has noticed anything? This development honestly seems incredulous.

Others have already talked about how the MC is pointless to the story but there are actually other issues. So the school MC founds is for people who couldn't get into college due to grades. The problem is that most of the students that stand out are outstanding in ways that have other schooling options available, like culinary school, a music conservatory, or trade schools for the hackers. Literally most of the students seem to be studying whatever their hobby is + magic. The only reason the magic is even there is because that's the premise of the novel.