Noriko
((Engaging fast-foward and autopilot.))
Right so the rest of your training goes much the same, a battery of questions and tests, some fruitful, others turning out to be about as useful as Faith's clothing in battle. As Ren explains learning a different kind of magic ain't what you'd call easy, though that is not to say it is difficult either. See, the general principles for everyone's magic tends to vary, and indeed, even people with seemingly similar kinds of magic might have drastically different underlying mechanisms. So what you need then, is a catalyst, a spark, something that lets you branch out. Studying tomes and the like is of course, an option, but well, it could take time, time you don't have. So you have to move onto the next option: trying to force it, pursuing every damn lead, throwing everything against the wall, and praying at least one thing sticks.
The element you settle for was fire, should be useful enough even if all this other shit fails, but it does make the process all the more frustrating, given that you, y'know, probably could learn how to use it without conjuring it given that you could manipulate the very air to create the ideal conditions for an inferno. In theory at least. Maybe there's some hurdles along that way too, can't tell cause you y'know didn't take it.
Looking into enlargement turns out to be a waste of time - you don't actually feel anything new when you apply it to an object, so enlarging a flame for instance won't make you learn anything more about how to summon one of your own. Practicing more with Ren's enchantment units doesn't really help either, you can feel the enchantment moving into your weapons, but try as you might you can't probe any deeper into their structure. So that left the grasping at straws options, the question of what those names were, the names of your attacks. That, that you couldn't answer. Apparently they're the names of Astras, weapons of the Hindu gods apparently.
Your ignorance was deemed promising, more or less. If you didn't know what those names were and yet yelled them out all the same, there would have to be some meaning behind them, would there not? Some strange ineffable meaning. Can you use your attacks without them? Yup, it's a bit easier with them though. What if you use the wrong name? Also doable, it's harder though. What then, what then, if you used another name, a name that you did not know before: Agneyastra.
You feel something, that same feeling you felt that first battle screaming out your attacks for the first time, a strange curious feeling, one you can't quite put into words, but only a feeling. Pour magic into that feeling however, and you get sparks. Sparks and dying embers.
So, you got a catalyst for flame conjugation now, you just need to practice with it, try and stoke the dying embers into a flame, something you can use. Shouldn't be too exhausting, just play with it whenever you got time, with any luck you could learn from your inevitable mistakes, and force those onto incoming spells, without it, well you could always try manipulating the flames and attuning with them.
Yuki
((Skipping ahead. I can edit in a fast forwarded tour if you state Yuki's preferences.))
Later that night
Noriko, Yuki, you wind up back how it all started, how you two met, with weirdass outfits and drinks being served at a table. Except y'know, you two aren't the ones in the weird outfits, nor are you the ones serving the drinks for that matter. Cocktails, orbs of magically suspended liquid with swirling tendrils of ice and punctured by straws, haloed with rings of garnishes, and 100% alcohol free (Yuki checked). It's like you're drinking Saturn.
Maybe it's the atmosphere, maybe it's the resort, or maybe it's just that you're both no longer destitute, but you're feeling pretty good...
Elsewhere that night
Shef, Ren really isn't hard to find, the buffet's large sure, but she's the only one with a pile of plates that high, a swarm of service drones floating above her head like vultures, waiting for her to finish her next plate. The lady's like a damn black hole for food. Apparently she's experienced, a veteran of some sort, and she's the one you need to talk to about improving your knockback power. She waves as you approach.