Maybe you aren't familiar with how AI works. It writes the code for you. Nobody is "letting it mis-spell things". You run the code it wrote, it fails. You look through the code the AI wrote and find the typo it put in there, or give the AI the error for it to fix - but it still created the typo, and that is the main point here. AI often ignores the rest of the document and does what-ever-the-fuck it wants to make you stop prompting it, without any real concern for correctness.
It writes the code for you. Then it runs the tests. Then it runs the linter. Then it runs the static analysis tool. If any of those fail, then it rewrites the code and runs them all again.
You only look at the code once it has done all of that.
If AI is ignoring the rest of the document and doing whatever it wants then you need to improve your document-writing skills. You can ask it why it did something, that helps discover how to improve. It's a process of refinement and discovery, just like learning how to use any new tool.
Maybe you aren't familiar with all the ways AI can be used.
I use AI in two ways. In the way you describe, and also in the text editor as AI autocomplete. It works great until it doesn't. It inserts typos all the fucking time.