This could heal or not heal. The fin piece missing looks too deep to heal quickly if it ever does. The cb PBB probably damaged it when really young. Bichir fins normally grow back quick when slightly damaged, but this is quite bad. The fin could also never grow back. I had a lapradei with a big split fin that never grew back, and I had him over a year. So, this is a hit or miss situation, but based on my past experiences with these kinds of wounds, I do not think it will heal.
Hao
probably has more info about this.