There’s a discussion about the panel type: Looking for a specsheet on the screen before ordering.
Current panel is probably this one: BOE NE135FBM-N41 Overview - Panelook.com
Connector: eDP (2 Lanes), eDP1.4, HBR1 (2.7G/lane), 40 pins Connector
Unfortunately there’s only one 13.5" 3K panel on that website: Panasonic VVX14P048M00 Overview - Panelook.com
It has a different connector: eDP (4 Lanes), 50 pins Connector
Maybe @nrp can confirm which connector is used for current panel and if there’s a chance to use a panel with 50 pins connector.