Here the final outcome as far as I could understand it from answer in this forum and chating with the AI agent on Swisscom website.
I had ordered two SIM (prepaid flat) for my wife and I. Both order have been charged, then my wife got canceled on the account that Swisscom does not ship outside of Switzerland. That was already bad as the order form on Swisscom explicitly allows selecting other countries.🤦
Then after a while I inquired in this forum about how I could get some explanation why my order is not progressing. Chatting with the Bot on Swisscom I got confirmation that Swisscom does not ship outside of Switzerland and I assume this is the reason my order is stuck.
Still they decided to keep my money, and I have no other solution to go to a Swisscom shop as soon as I arrive.
Frankly this is the worst customer experience I have had for ages. Being outside of Switzerland I have not way to reach customer support, as only callback to Swiss numbers is offered. I also recognize the trick of organizing a community forum like this to waive on your duty to provide proper support to customers.
I’ll nevertheless thank the people from this community that helped me connect the dots.