How to progress with Exalt?

[Praevasc]

Unlocking the HQ is is straightforward for every other cult. Apprehension -> safehouse -> outpost, at each one capture the highest ranking member alive (and with so many of these missions spawning, one will capture them alive even if not really trying). However, Exalt doesn't seem to have the apprehension/safehouse/outpost chain.
I looked up the "Exalt Operations" research, it requires a "brainer". However, I never found any of them on any special missions featuring Exalt. What did I miss?

[Solarius Scorch]

EXALT has the same chain as the other starting cults.
A brainer can be found in the EXALT HQ.

[Praevasc]

But to get the HQ, I need the "Exalt Operations", and I need the brainer for that.
Hm, it might be because I have the Arsenal Additions...

[Solarius Scorch]

But to get the HQ, I need the "Exalt Operations", and I need the brainer for that.
Hm, it might be because I have the Arsenal Additions...

Possibly. In the base mod, EXALT Operations need Psiclone and EXALT Enforcer (or Master).