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Please check Lenovo for driver updates for the touchpad drivers for the Windows 10 Home system, per the dumps and WER logs the Synaptics drivers look to be causing the crashes.
Please upload logs from the DM Log Collector for the Windows 10 Pro system, analysis for each system is required as 2 systems having the same BSODs does not mean the causes are the same.
Please fill in your system specs
Please follow this tutorial
and download the tool. The tool will give you detailed information about your system specs, please fill in your system specs more completely including PSU, cooling and other used stuff like mouse, keyboard, monitor, case, etc.
The PSU, cooling and other stuff are NOT mentioned in the tool.
How to fill in your system specs: