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Sounds like you want a new license that just prohibits use by one company for one purpose.

There are other AI-based code completion systems than Copilot, at least Tabnine[1] and Kite[2] come to mind, I'm sure there are more.

As of today there is a new one...

"Now in Preview – Amazon CodeWhisperer"

is there something wrong with that?

Not at all, you can put any license on your code that you want.