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If there are three branch-leader candidates (one person and two cats), then wouldn’t it be best to have the people involved choose who is fit to be the leader?
Let Houran-kun, Tai-yi, and Huang-hu gather together, discuss, and decide on the boss. That would be the most convincing.

Cat-lover Houran-kun could become the boss of the cats, or charismatic house-cat Tai-yi could become the leader of the cats, or duty-bound stray Huang-hu could take command over the cats.
Whoever sits at the top, the overall direction may differ a little, but they should still be able to manage this somehow cat-ified Tsukuyomi China Branch (planned) reasonably well.
No, they could even fail at running it.

No matter how serious the people involved are, ultimately this is still a Secret Organization pretend game.
Even if they fail, they can recover as many times as they want. It’s reversible.
Fail where you’re allowed to fail, gain experience, learn, and turn it into nourishment for the truly decisive moments in life (cat-life) that will surely come, where failing is absolutely not an option.
Of course, success and victory would be ideal.

Now then. It’s easy to say that the three candidates should meet and discuss who becomes boss, but at present, Houran-kun & Tai-yi (plus Baba) and Huang-hu (plus the guy adopted by the cat) are supposed to have no acquaintance on the surface. Especially since Tai-yi belongs to the house-cat faction, and Huang-hu belongs to the stray-cat faction. One could even say they are enemies on the faction map.
With this, discussing who becomes boss is out of the question.

So I came up with a plan to make them fight together and become friendly.
A powerful villain appears, one they can’t defeat fighting separately, and they have no choice but to combine forces. As they fight together, a bond sprouts… friendship… unity… and then victory.
The usual manga trope. Once their bond deepens, they can discuss and decide the boss afterward.

Though reality doesn’t go as smoothly as in manga. In fact, what often happens in reality is that attempts to cooperate turn into dragging each other down, both sides collapsing, shouting insults, and breaking apart. I’ve seen plenty of that in my black-company days, and even experienced it myself.
Covering that and forcing it to go well is the job of the backstage crew, meaning me and Baba. My skills tingle with anticipation.

Anyway, first is training, training, and more training. Huang-hu, especially, is far behind Houran-kun & Tai-yi in psychic development, so I want to move quickly.

I left Houran-kun & Tai-yi mostly to Baba, and stuck closely to Huang-hu. He’s skin-and-bones and covered in injuries. Before psychic ability, his health needs fixing. While I instantly healed his wounds with the Healing PSI Drive, the thinness can only be fixed by eating well, sleeping well, and slowly plumping up.
I volunteered to stand watch every night to let him sleep peacefully, and to feed him, I caught high-grade, fresh fish with excellent nutrition and flavor. Cat food would be fine, but I learned that Huang-hu always shares any food he eats with me, so aside from the first time, I’ve stuck to fish.
Baba loved my cat-food taste review, but Shiori became worried for my health. Well, it’s not food meant for humans. It was bland and fibrous and not that tasty anyway.

“Meooow (What, actually, are you)?”

One night. In the usual back alley beside the outdoor unit, Huang-hu finally asked me.
I was filleting amberjack I had telekinetically caught in the Sea of Japan, slicing it into thirds with a black-glowing telekinetic blade wrapped around my index finger. For the past week or so, I’ve eaten nothing but sashimi (and seaweed) to match Huang-hu.

“What I am, you ask?”
“Mew…mrrow, meow (How do I say this… You’re a marvel, truly).”

Huang-hu groomed his now-fleshed-out cheek with his forepaw, meowing and mumbling.
He can’t put it into words, but he feels something off.
Well, humans don’t speak cat, and they don’t slice fish with a single finger. From a cat’s perspective, there must be a lot of strange things about me. And I’ve been acting deliberately non-human, so his perception is correct.

“I’m just a marvelous guy who can use marvelous powers. See?”
“Meow (What a boring answer).”

Huang-hu devoured the amberjack slice in my palm. The scratchy tongue tickled.
Hmm. The psychic core I transplanted into Huang-hu finished mutating and stabilizing yesterday. I was wondering how to bring it up, but it’s a good moment. Time to lay the foreshadowing and shift into training.

“I don’t know what I am either. When I came to, I was in that place where I met you. I remember nothing else. Oh, actually, I remember something about bright light, vaguely.”
“Mrrow (How strange).”
“Yeah, it’s strange. Must be amnesia.”
“Meow? Mrrow (Amnesia? What is it)?”
“…I don’t know either. What is amnesia, anyway?”

Oops, that didn’t get through. Cats don’t know the concept of amnesia.
Same here, totally same. I have amnesia, so I don’t know what amnesia means.

“But there’s one thing I do know. You have the same strange power as me, Huang-hu. It’s true.”
“Mew (How do you know)?”
“I can feel it.”

When I declared it, Huang-hu twitched his whiskers skeptically.
Fair. He never felt he had any strange power, and if he did, he probably dismissed it as an illusion.
But it’s different now. He does have a strange power. I transplanted it, so he definitely does.

Awaken, Huang-hu, great stray cat!
The era of loneliness and hardship is over. Now is the time to leap!

“Try using your power, even if you think I’m tricking you.”
“Meow (You’re tricking me)?!”
“…I’m not tricking you. Just try it. If you try, you should be able to use it.”
“Mew… (Hmm…)”

Huang-hu licked the fish juices from my palm as if reluctant to stop, paused for a beat, then suddenly grew enormous.

“Meow mew, mrrow (What, this is me)?!”

From mameshiba size to shibainu size, Huang-hu looked up at me from his new height, compared himself with the outdoor unit, stared at his paw pads, and panicked. Very busy.
So easy to understand! Definitely a size-changing ability user. Less a great cat, more a giant cat.

“M…meow… (My power… it’s weaning…)”

Huang-hu soon returned to normal size, but still buzzing with excitement, circled my feet in figure-eights, meowing nonstop.

“Meow! Meow mew meow mrrow! (Amazing! I could do anything with this power!) Mew mew meow mew mew!”

Look at him getting so excited. So cute.

I waited until Huang-hun calmed down, then explained that this strange power grows with training, and we promised each other to use our powers together to rise through cat society, obtain warm fluffy beds, and eat delicious food to our hearts’ content every day.

Good. Now we just wait for everyone’s training to reach a stopping point, then move to the next event.
It’s about time I prepare to “lose control” in front of Houran-kun, Tai-yi, and Huang-hu, unable to suppress the evil power hidden inside me.