So when you have a sense of purpose, it will feel as if your life has meaning.
I dont understand this. Why not? What about the lives of animals? For example, couldnt you say that the meaning of the life of certain ants is to serve their queen? That is the reason that they exist. The main difference I see is that there doesnt exist an entity which we are born to serve, but many have deities that can fill that role. Some atheists instead use the collective human condition to fill that role.
You could say that, but the word "meaning" in this context is not used in a literal sense, it's expressing something closer to "purpose". The word "meaning", when used literally, applies to communications. It's the thing the communication is supposed to express. An ant's life is not a communication and therefore the word meaning does not apply in a literal sense.