previous update, today PlayStation 4 developer @MODDEDWARFARE made available PS4 AIO v1.4.0 with a new demo video on his YouTube Channel which includes exploited 4.05 Firmware support alongside BO3 mods followed by v1.5.0!
Download: PS4-AIO-Setup 1.4.0.exe (42.6 MB) / PS4 AIO Portable 1.4.0.zip (42.1 MB) / PS4 AIO v1.5.0
To quote from the video's caption: PS4-AIO Release with 4.05 Support & BO3 Mods! (PS4 Jailbreak)
Here's an updated version of my PS4-AIO tool which now supports 4.05.
Please download and install the latest version rather than trying to update any older versions.
Playing Ghosts For Free & Cool Mods On 4.05 (PS4 Jailbreak & Homebrew)