For instance in Germany, the specific words "Bundesregierung" (Federal Government, or just short "government") and "Landesregierungen" (State Governments) explicitly describe the "executive part" of the "political system".
The Federal and State Parliaments are the "legislative part" and the courts are the "judiciary part" (with the "Federal Constitutional Court" at the top). This whole idea of strict separation of power is the most important foundation of the German political system.
When talking about "the government" in Germany, people mean the institutions of the executive (mainly the chancellor and ministries, sometimes also including the president, but never the parliaments and courts).
And tbh, I would also have a hard time describing the US Democratic Party as the "current US government" just because they're sitting in the Congress.
In the US it’s common to only use it to describe the entire apparatus for holding, administering and enforcing state power.
But it can also be used to mean the current ruling power in a parliamentary system together with the administrative bodies under its direct control. So something more akin to just the executive branch in the US system. And then certain state agencies such as the judiciary are meant to be independent of the government under that meaning of the term. I believe this is the most common understanding of the word outside the US.
Wait ‘til you find out what some of my friends mean when they say “pavement”.
Things were courts with huge power, and consisted of a gathering of all free men and had basically unlimited power, because they were the people. Meanwhile, the government was the person of the king.
I think that's an example of a system where the courts (Thing) is clearly not part of the government.
You can see this when people say “[X] is unable to form a government”. They don’t mean unable to form a judiciary.