If you don't have a history of job-hopping, you can say "It wasn't the right fit" and likely be taken at your word... After a few questions.
You've been told bluntly
I've been told my performance needs to improve in some areas
No matter what they call it, this is a Performance Improvement Plan (PIP). Your best strategy to survive is to get another offer.
Most people have had a job that didn't work out. You are right, they probably will ask why you're leaving so soon. Start with
It's not the right fit
Good interviewers will ask follow-up questions related to specifics of what happened, and why it's a bad fit for you. The interviewer will want to see you've put thought into the type of new job you need, and you won't make the same mistake twice.
Be as objective as possible. Don't blame your current boss or company. Think about this before the interview. Answers like "They needed more technical management and I focus more on soft skills" are good. They let you segue into talking about the job you want.
I would consider your job over. Even if you manage to survive, you're likely out of the running for raises, promotions, and transfers for the year thanks to the PIP.
From the OP's post, it sounds like Personal Development Plan is the next phrase on the euphemism treadmill for PIP. He was told explicitly his performance was lacking. Normally I'd suggest asking for clarification, but in this case, HR may have mandated the manager lie and say you have a chance.
Because the downside cost is very high (job-loss), and the chance your company will not be honest is high (stupid, but common HR procedures), you need to assume your job will go away.
No smart company would have a written document with words like "performance needs to improve" in it unless it was a PIP. Yes, the company could have a stupid HR executive, but that's a big chance to take. Get out while you can say you still have a job.