I'm not familiar with Chris1111's installer but do remember Pokenuygen has a Probook Installer back in the days. I did the build the vanilla way, using createinstallmedia command to create the installer and adding the EFI OpenCore boot files files.
Hotpatched SSDT are based mainly from Rehabman's GitHub. There's a strange issue where the internal drive is not detected by Big Sur but no issue with Catalina and below using the same files. A member in Insanelymac also had this very same issue who also has an HP. He has a newer model that has an I2C touchpad, so in adding support for the touchpad, he discovered that it also enabled the Internal drive to be detected by Big Sur. So even though the Elitebook 840 G3 doesn't have an I2C touchpad, enabling that driver does indeed enable the Internal drives to be detected by Big Sur...I'm still scratching my head around that but hey, as long as it works.
Currently the TrackPoint is not working, touchpad works just fine with Rehabman's voodoops2Controller, but no multitouch gestures. I'm currently looking at this new kext call VoodooSMBus + VoodooRMI, that's suppose to give better support. This model is suppose to be supported according to the description. We'll see how it goes.