Will Star Wars battlefront 3 come out or not

Yes and no, there are lots of rumors of people saying that Pandemic got fired so they gave the game for free to Radical to finish. They were also making another game which really sucked so Lucasarts fired them.
Then they gave the game to Spark Unlimited and apparently they are in the making of the game. I recommend to buy a job there and see. I hope that helped you and here are some links for some gameplay and information on the game below.