“I came across some news articles about the name which disturbed me alot/ it was about people with this name being killed in one part of the world.”
I don’t see the logic here. At all. (Unless there is more to it, but even then, what has the name have to do with anything? Or how is the name, a collection of sounds, responsible for anything, cultural interpretations, people’s actions, etc)
you have an irrational thought pattern / obsession. And you’re here on MN trying to overcome it with logic or advice from responders?
if you can’t see that you hate the name for irrational reasons, and obviously you can’t, no one can help you with more logic.
now this is your child’s name, it will be cruel , at this age, to change it. You have no right, after 4 years, to do that. Even adding a middle name, it’s not your call or your right, regardless of what the law says.
with meds your irrationally goes away, without them it comes back. You need to understand this is a mental issue.
if you don’t get the part that this is all about you, you’ll keep ruminating on what you could have done about the name, what can you do about the name now, on and on.
There is nothing that needs to be done about it (change name, add name) apart from getting help for yourself. Either you get more therapy or meds for life. I’d seek more or different therapy first, before committing to be on meds forever.