https://youtu.be/c-jstMRxTes
The DISA valve changes the intake airflow and if it breaks will cause a bad air mix and it will run very rough. I thought I lost a spark plug coil.
I would also pull the MAF plug to see if the baseline mix program will change the rough cold operation.
From the video you'll see the DISA valve. I think when it breaks it usually makes indecent clicking. I'm not sure if you can get a diagnostic test by unplugging DISA similar to MAF.
If DISA ends up being the problem, I would repair with a metal vane for 1/3 the price of a replacement