So, I got a BCP in March. I put heavy spend on its 2k limit. In may, they gave me a 2k Delta Platinum. I called in June and they said I needed to wait 6 months to ask for a CLI on any card since my relationship was new and I got a second card. This pretty much was what I read here- that especially for the BCP they like to see 6 months / probably since you can do their revolving 0 interest Plan It. I figured I'd just wait and I wasn't expecting anything.
I logged on to make a payment and received an AUTO CLI!!!!! 4K. I'll take it with a SP- I notice they've been soft pulling my EX and TU . Thanks to this forum my profile has gotten better and better 🎉🎉🎉🎉🎉
12/22 : 
Congratulations on your AMEX BCP CLI 🎉🎉🎉
You were eligible for the 3x CLI and got even more
Starting Score: 512
🥂 Congratulations on your auto CLI!
Congrats on the CLI, your relationship with AMEX is growing in the right direction
Congrats on your AMEX Blue Cash Preferred Auto CLI
