Pretty well all laptops are class II, so there's no earth connection anyway - so no point in a grounded plug.
Class II does not control or guarantee RF isolation from the CM noise in a SMPS.
For those who do not understand...
In Class II or 2 appliances,
the user is protected by at least two layers of insulation. For this reason, Class 2 appliances are also known as Double Insulated. Class 2 or II items do not require an earth connection for safety.
Yet, some need protective earth (PE) ground for functional noise diversion to prevent susceptibility to EMI issues.
This laptop battery charger, for example. The laptop is Class 2, yet the charger is class 1 such as this HP charger.
All the symbols are for electrocution safety, not RF interference. Notice that it is missing the double insulated safety symbol.
Isolation or Electrical "Insulation" is only tested at line frequency by shorting the AC pair and apply several kV to measure secondary leakage to PE ground greater than say 100uA for some products and 1 mA or more for others depending on the continent or country or class of product specifications. But they do not measure the impact of CM noise injected between the case 0V and one's finger on a touchscreen.
Either exchange or toss the charger with a better one or shunt the 0Vdc to PE gnd with a 10 nF or so cap in series. The wire inductance and series C form an LCR or RC series filter, so this may require some skill , I think. A hardwired ground requires some faith that your charger will never see a direct lightning strike or otherwise have insulation failure. This may not be wise if your power grid is not buried.
Often 2 stages of primary CM filters are used in better ACDC supplies as the magnetic useful impedance for attenuation often spans less than 2 decades and the harmonic content spans more than the CM choke. If I were to guess, this is the problem with your charger.