[X] Plan Ahnenerbe
-[X] (Homura) Go out with your team to a nice local cafe
--[X] What did Miyuki learn from this exercise?
---[X] How to properly operate with each of the team members individually, even if some members (such as yourself) aren't as synergetic with her alone as you'd have liked. For you in particular, she's learned how to deal with your time-stop shenanigans, has gotten a good idea on how you fight and your capabilities, has witnessed the viability of Runes with the potential of her starting to learn one to expand her repertoire, and she's learned the synergy between your ice and her fire to create deadly swaths of magical steam that could then again be used by you as fuel for better ice constructs and attacks.
--[X] and talk to
---[X] Miyuki
----[X] about what she thinks about working with the Holy Sextet so far, and if she has any concerns about team composition, compatibility, and whatnot
----[X] about whether or not she'd like to start learning a Primordial Rune after witnessing their abilities more in-depth today
----[X] about her well-being, how she's coping, and letting her know that if there's anything you could do to help you'll gladly do so
-----[X] You may or may not be joined in by others of the Holy Sextet in proclaiming your offer of aid
---[X] Kyoko
----[X] asking her about her progress in
Sowilo, and bringing up the possibility of them working together to create an incredibly deadly and huge AoE combo attack by combining their
Isa and
Sowilo attacks sometime in the near future
----[X] about her dating life, and if she has any plans on what she wants to do with your near and dear friend Sayaka in the near future
----[X] about the possibility of Rider ferrying everyone back to Mitakihara, as even if he has to take multiple trips he's most certainly far faster than any simple train
---[X] Mami and Caster
----[X] graciously thanking them for setting up today's training session, as the amount of realism that was present in the training session was incredible and is a real help for helping to integrate Miyuki into the team what with the recent Witch deficit
---[X] Mami
----[X] about her own dating life
---[X] everyone
----[X] thanking them for coming all the way out to Shirome to help make things easier for Miyuki
--[X] and have a proper (if not as homemade) meal as to not trouble Archer with his scheduling constraints, while letting him focus on helping out Minako and Kirika at a healthy pace
---[X] Telepathically inform Archer that he won't need to cook for you tonight as you're eating out with the team
---[X] Offer to pay for Miyuki's portion, as it's likely she didn't anticipate eating out to actually grab her purse/wallet to pay; it's literally the least that you could do and it's a pittance in comparison to the funds Archer "liberated" for you
-[X] (Archer) Stay long enough to tutor them both until it would be detrimental to do so (so when their attention eventually tapers off, for sleep, for food, etc.) and then stick around to prepare some dinner for everybody with Minako afterwards to help everyone wind down
--[X] Do most of the prep inbetween when you're instructing Minako and Kure, such as when they're solving questions, to cut down on the time needed to prepare dinner
--[X] Have a nice family(?) dinner, and stay if they offer for you to stay the night; with Kirika around you don't have to worry about Minako possibly making any moves on you, and it'll give you the chance to cook a nice - read amazing - breakfast for everyone before they wake up tomorrow
---[X] Dream for the first time since you were summoned (so Dream Cycle stuff from Homura's own memories and experiences)
Seriously though, regular steam in sufficient amounts is enough to literally melt people, so magical steam created via potent effects like Homura's
Isa and Miyuki's fire could be an incredibly potent weapon; I shudder to think what Homura and Kyoko could do together once Kyoko progresses enough in
Sowilo for them to do a massive steam combo attack, and I'm like 99% certain whatever fire that's conjured by Kyoko's Rune would be far more potent and filled with much more Mystery than Miyuki's fire, making it ever the more deadly.
Also let's get ourselves a head start on some Kyoko and Rider content, why don't we?
EDIT: Added in the Archer portion of the vote, and stipulated Homura actually eating out and paying for Miyuki's stuff.
EDIT2: Forgot to add in the Mami dating life portion, added it in