First, read my text fully before replying.
But additionally I have a brain and can use it to double check:
In example 1. I just build it blindly because it’s a game and it doesn’t matter if it’s wrong. But it ended up being correct.
In 2. the math result was not far off from my guesstimate and I can confirm later, it was correct.
In 3. it gave me a source and I read the source. Google did not lead me to that source.
When I let LLM write code, I read the code, then I test the code.
tealdeer