That is correct. However, it is also important to use a suitable cable. Unfortunately, not all cables work (even if they have the right plugs). If necessary, try a different cable and make sure that the laptop uses a socket that supports charging.
You should contact customer service with the serial number of your item, to be sure of the accounting: https://helpcenter.digitec.ch/hc/fr/requests/new
Based on the pictures, it should be a plug with two pins (https://de.wikipedia.org/wiki/Eurostecker) that also fits into our sockets. The power cable is also plugged into the power supply unit so that it can be replaced.
In addition, the following applies anyway
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Digitec (or any other Swiss dealer) is obliged to supply electrical appliances with a Swiss plug. If the appliance is supplied with a foreign plug, a suitable replacement cable should be supplied if the mains cable is pluggable or, alternatively, a suitable adapter if the mains cable is permanently connected.
If the appliance is delivered without a suitable plug, complain to the customer service and insist on a cable or an adapter, free of charge.
Info Digitec --> https://helpcenter.digitec.ch/hc/de/articles/4402084170386-Fehlender-Adapter
Point 1 --> https://www.esti.admin.ch/de/themen/faq/elektrische-erzeugnisse-marktueberwachung/
Power strips or extension cables have hardly any influence, so this fits. My Satechi adapter is also connected to a power rail and works without any problems.