Hello WillCH;
God bless you and thank you for asking an honest and open question. I don't know Battlefield V. If there is an "outfit," do you mean "game?" If the outfit, or game, is called "Holy Ghost, " no. This is not a sin.
Its what you do with the game, WillCH. Is the outfit, or game, Holy Ghost, about sinful behavior that doesn't glorify God? Does the game advocate violence to the death, or doing evil, as the winner?
I used to play a fast, highly skilled game of concentration, intelligence, and quick reflex where only one could be the winner. That game was called pong. The definition of pong is an unpleasant smell in English and Chinese. But this is not a sin.
Then after playing I went to youth group on Mondays and played guitar during Sunday service. This was back in the 1970s.
You asked a good and honest question. There is a secular rock band called the Doobie Brothers. They play a good song called, "Jesus is just alright with me." I don't know the band's personal lifestyle nor do I pay heed, but when I hear the song I don't feel I'm in sin. If the name of the outfit or game, "Holy Ghost," clashes with your beliefs, then only you can answer whether to play or let it go.
Anyone elses thoughts?
God bless you, WillCH, and your family.