Okay, so. Let's start from the top, and see what we can come up with.
Investigative Actions
-False Memories is a given. With Investigation 30, Homura is guaranteed to at least hit the Breakthrough DC of 75 and discover a Clue. The nature of the Clue (a new Mission, progress on a Mystery, or a new Mystery entirely) will likely influence our decision making in some way for the next turn.
-Miyazaki Books serves two important purposes. First, it gives a half Social Action with Kyouko just by working together on it, and Homura and Kyouko will both put their rolls into it, and they will both be rolling with a bonus equal to 5x their Social Link (+20). This means that there is a minimum of 2d100+50 on it in total for an expected value of 151 net Investigation progress and 25 net Social Link progress with Kyouko. Second, Honya seems an interesting character and worth investigating.
Social Actions
-With our Social Action free this time, I see no reason to not spend time with Junko Kaname and Madoka. Mostly because, well, Junko and Madoka will be in the same place at the same time. And (drunk) Junko wanted to introduce Homura to Madoka anyway... so this get's that out in the open as well. Numbers wise, I think we're looking at 2d100+50. If so, 7.8% chance of not getting the Social Link, and another Social Action should be more than sufficient for Homura to become friendly with Junko Kaname outside of the Pathfinder game.
Home Actions
-Playing SAO is, as you might have started seeing a trend with my options, another half of a Social Action for both Sayaka and Miho Miki. I'm noticing that she is referred to as 'Mrs. Miki' outside of the Social Actions portion. Odd that. Either way, the Socialize action will not only reveal how much more is needed to get closer to Miho Miki, but also just let's them all spend some time together.
-Yes, Sayaka wants to give herself more brain damage by training Magecraft. Let's train melee with her instead. Plus, the fundamentals of it even work with playing SAO! Maybe. Hopefully.
Mission Actions
-Look, we can't get Oriko's help again until we do her Mission, and our Social Link will drop a rank if we don't do her Mission. I can't think of anything to shop for or steal at the moment, aside from possibly looking for a book to help with Socialize? And even that will probably go better after visiting the bookstore at least once.
Creative Actions
-Homura's Heart Condition is a problem she has to deal with throughout her loops. I know that Ambition 20 is the literal highest, and I could be convinced to lower it. But we want something she can apply once per loop, and in the ending, not need to worry about in the future. It also gives us a good long term goal to focus on for Magic Development and for further Research.
--Why do it as Arcana!Kyouko? Simply put, her Research is significantly better than Homura's (it's a 30 compared to Homura's at the moment), and she doesn't have the personal experience of living with it for literal years. I think a fresh perspective might help.
Grand Undertakings
-Obviously, this is Restoration Of The Yamato. With 205 progress remaining, and our knowledge of Homura and Rumi's bonuses from the update, I have determined that there is a 14.8% chance of completing the Yamato this turn. Applying Akemi Madness only boosts it up to a 20.8%, and honestly, that's just not worth it in this case. Good news is, even if it's not completed this turn (without Akemi Madness), the most remaining to be done next turn is 145. And even that worst case scenario still leads into a 63.45% chance of completion on the next turn.
Training
-Wait catDreaming, you said that Homura needs to develop her Research, and her Magical Development, and her Socialize, and, and- Yeah, I did. However, when we get back to working on the Akemi Clocktower Workship, the bonuses for using Clocksmithing on it are just larger outright. In addition, due to Homura's Memories Of Jii-San, she has access to a Teacher with a Clocksmithing level of 30, who offers a +100 bonus. That is, if nothing else, an excellent resource to use for preparing for future attempts at the Akemi Clocktower Workshop.
--Also, if her thoughts while under Akemi Madness were accurate, whatever was wrong with the clock was done by someone on the level of skill of her grandfather. So it's almost certainly not going to be easy to fix.
Sleep
-Once again, since Sleep Well And Deeply gives Homura a +20 Sanity bonus on her first Sleep action per day, it's fairly safe (for now) to spend one Sleep action doing something. Continuing on Research is the current plan, since we have a book for it.
[X]Plan: Jolly Cooperation
Investigative Actions: 2
-[X] False Memories (75/100)
-[X] Miyazaki Books [Kyouko]
Social Actions: 1
-[X] Junko Kaname (9/100) [Madoka]
Home Actions: 2
-[X] Special: Play SAO [Sayaka] [Mrs. Miki]
-[X] Training: Melee
--[X] With Sayaka
Mission Actions: 1
-[X] Deliver Oriko's Letter (Urgent: Today)
Creative Actions: 1
-[X] Research A Theoretical Spell
--[X] A Spell to cure Homura's heart condition, without need for reapplication or ongoing maintenance.
--[X] Ambition: 20
---[X] Arcana - Kyouko
Grand Undertakings: 1
-[X] Restoration Of The Yamato (295/500) [Rumi]
Training Actions: 1
-[X] Clocksmithing
Sleep Actions: 4
-[X] Sleep (Gain 20 + Modifiers Sanity)
-[X] Sleep (Gain 20 + Modifiers Sanity)
-[X] Sleep (Gain 20 + Modifiers Sanity)
-[X] Train: Research
Notes for the future:
- I suspect that we'll want to check in with Mami sometime in the next in-game week or so. Both so that she doesn't feel too much like we've abandoned her, but also because we've been letting her stay in our apartment. And while I forget how good her relationship is with Kyouko in this timeline, it could also be a chance to check in with her if they happen to be at home at the same time.