Thank you very much for the responses. I'm on night #1 with the system so forgive my ignorance.
My goal is to control whole-house scenes from a 4 button Pico remote: PJ2-4B-GWH-L31
I have two of these Picos currently added to my Lutron SmartBridge Pro 2: one that controls all lights (on multiple Caseta switches) in my kitchen (setup through Caseta app) and another is completely blank.
As part of my initial setup, I tried testing button presses through the Devices tab for the Pico connected to the Kitchen. I tried inputting buttons 1-4 (based on what was showing on the activity log, previous screesnshot) as well as 8-11 as shown from my Integration report. None of these approaches were successful.

I am, however, able to control the lights in my Lutron system through the Devices tab.
Is there anything else I can provide to add more context?