Surprised to read that King Charles asked Mr Sunak to form "a new administration". I always thought the actual formula was asking "to form a Government in my name". And, in the Queen's Speech, the late Queen always referred to "my Government".
Does it mean tbat HM's Government is now HM's Administration?

https://www.royal.uk/king-receives-new-prime-minister

I knew Administration is used in the US as equivalent to Govt., but not in the UK or other European countries. In my country Government and Administation are different concepts.