I wouldn't worry about it. AI tools are trendy right now and are being hyped far beyond their actual usefulness. I've seen this before with other things. Eventually, things will calm down and AI tools will become stable and just another standard tool that will provide incremental improvements.
That will be the time to try them out and see if they are useful.
Typing code is not where the value of a software developer comes from: it's the thinking, the planning, the accumulated experience, and the communication with other people where the most value emerges. You will not hurt your programming career.
Way back when IDEs were the hot tool, some developers kept using the command line and vim. That choice did not hurt their careers: I've worked with such developers and they do just fine. IDEs make a lot of things easier, but they don't make the difference between success and failure.