Check her room first off?

Sure. 

To Dani's room.

Which contains a Dani!

"Hey!"

"Hey, cutie!!!" Bounce! "Your enclave didn't give you too much grief?"

"Nah. Wanted me to sign up on an alliance, but I said I needed to think some more."

"Speaking of alliances - can we come in?"

"Of course." She steps back to let them in.

She sits down on Dani's bed with a little bounce. "We wanted to ask you - and we already ran this by Shinta - do you want to join our alliance?"

Eeeeeeee tacklehug!

"I think that's a yes."

"Yes!!!"

She laughs and hugs back, squeezing tightly, then gives Dani a very enthusiastic kiss after her 'yes.' 

Excellent!

A great initial celebration. 

Fun times.

Though now they need to fetch Shinta to write Dani's name up with their alliance!!!

No time for delay!

Shinta has finished settling her own haul into her room, and can be pretty easily fetched. (Though she doesn't see the point of the quasi-ceremony of writing names up.)

It's an exercise in team bonding. And a public commitment discourages defections, though El thinks that won't be a major consideration with this group.

She's not intending to. 

And the others are fairly well tied together, so.

Yeah; Shinta suspects the world will end before El and Lu split.