Since V1C3 was mentioned, I'm going to bring up the read order for the Nth time, this time with (hopefully) an actually useful advice, to a new player, that doesn't involve directing them to a 3rd party website:
Event Recap -> Guide Task
When sorted with "Default" they are listen in the order that (aside from the Decagrammaton stuff) matches what is described
here.
V4C1 in the middle of V3 is not intuitive, but makes sense for pacing and worldbuilding (I'm pretty there's a timeskip between the first part of V3 and Eden Treaty arc, during which V4C1 takes place. Aside from letting the Trinity storyline to breathe a little bit, V4 explains that while Kivotos technically has central government and police force, they're insufficient to do much else than maintaining order in the "neutral" areas that don't have any non-Valkyrie academy to provide military or paramilitary force.)
V4C2: very clearly takes place immediately (or at most few days) after events of Volume F, and deals with the aftermath and multiple "loose ends."
V5C1: is not too chronologically dependent (other than Kuzunoha arc?)
V3C1: for anyone who hasn't read it yet, I would encourage going in blind and forming your own opinion. I ended up reading it immediately after VF because it was listed first, which was not ideal. To use a
rough analogy, it was kind of like expecting to watch 'The Empire Strikes Back' but getting stuck on a Prequel Trilogy marathon.
V5C2: Other than obviously being a direct sequel to first chapter, it also connects to V3C1 through Kuzunoha.
V6: only needs V3 cleared, but there's a strong implication that a relatively long while has passed. Sensei/player is even, to some extent, blamed for ignoring/neglecting Arius. This is a bit awkward because the out-of-universe reason for this is obviously that the writing team (or rather, whoever is in charge) decided to do other stories over Arius until now. Reading between the lines, an in-universe explanation could be that Sensei trusted Nagisa to handle it. Based on what we've seen so far (on Global) it's hard to argue that she hasn't done at least a decent job, considering the circumstances.