Run DXDIAG again and save all infos.
In resulting DXDIAG.TXT search the line
Device Key: Enum\PCI\VEN_8086&DEV_xxxx&SUBSYS_yyyyyyyy&REV_zz
Copy and paste it here, then we can tell you the architecture of your GPU.
Check the device ID xxxx at following developer site: https://raw.githubusercontent.com/GameTechDev/gpudetect/master/IntelGfx.cfg
to find out your GPU's architecture, assumingly "Sandybridge" (aka 2nd generation)
Only very, very expensive laptops support adding GPUs through an interface called MXM (you would find a sticker somewhere advertising such a feature)