So, Medaka's Tier currently is 8-A | 8-A | 8-A, likely higher | 5-C | 5-C, Low 2-C with Ajimu's Skill/All Fiction
For her reason for being Moon level on her 4th key is because she stated that she had destroyed the moon
If we take a closer look, it says she fought with The Evil King of Another Universe
This should give her Universe level+ AP
For her last key, I say we remove Moon level and leave it as Universe level+ with Ajimu's Skill/All Fiction
As for her speed, she is Infinite with All Fiction (She can make the time of her actions become "0" or non-existent, allowing her to move instantly)
So, for this, I say we reword the explanation with (Comparable to Misogi Kumagawa who uses the same ability)
Conclusion
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Tier: 8-A | 8-A | 8-A, likely higher | 5-C, likely Low 2-C | Low 2-C with Ajimu's Skill/All Fiction
Speed: Infinite with All Fiction (Comparable to Misogi Kumagawa who uses the same ability)
Agree (Reword Speed): Oblivion Of The Endless, TOAAPRESENCE1, PhantomØ4, Ghostzano, The Pink God, Manu Zarri
Disagree: Secretly domain
Neutral (No for AP, Yes for Speed): Gabs22 Gamer