>>530122304
It's the Remolding Pattern system, another grind to improve your dolls. Each doll will have its own Remolding Pattern. To level it up, you need those "Data Connections" and sardis gold. At certain breakpoints, you will unlock "patterns" which are basically stat boosts.
Those patterns need to be activated though. That's where these remolding pattern mats come into play (see pic related). The doll needs to equip these mats to satisfy the patterns' required skill points.
Someone translated the patterns here: https://docs.google.com/spreadsheets/d/1n-vEd8aTJCHkpvPIa69iXodWE79CoA6guyrwhgFIbmg