It is not an impossible situation, courts have settled it, and what you describe is not how the law works (despite how many computer engineers think to the contrary.)
>>aseipp+(OP)
Courts have settled almost nothing related to AI. We don't even know if training AI using copyrighted works is a violating of copyright law.
Please point to a case where someone was successfully sued for sounding too much like a celebrity (while not using the celebrity's name or claiming to be them).