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#11
Is the Synaptics advanced settings available when you check for properties of the touchpad in Device Manager? See this to check if the registry shows the entry and also gives you steps. It is about disabling, but shows you what you need to be able to enable. How to: Disable touchpad when mouse is connected in Windows 10
See for further troubleshooting. Synaptics touchpad is disabled at Windows 10 startup [QUICK GUIDE]