We need 44 more Wind anam, so it'd be done in 7 weeks and CB will be with us if we're somehow sent out if the sect.
We need 100 more smoke anam, so the earliest we'd be able to integrate, would be in two weeks provided we nearly empty the wonder. We'd have to spend 3 actions each week and use three Grade 2 Wind Pills.
There's a middle ground there somewhere, but our overall advancement would still be gated behind integrating StM which we can't rush.
If there's any technique we should rush, if possible, it should be Shadow Prince for that extra con and all the benefits that'd bring. But that's likely to be bottlenecked by the Regalia. Maybe it's a 20 Anam Treasure though? That'd be nice.
Slow and steady seems to be the key words for integrating these techs.