Sometimes a jailbreak tweak left behind, or a piece of malware, redirects gs.apple.com (Apple's update validation server) to a dead IP. This gives error -4045 instantly.
“The computer attempted to write a critical firmware file to the iPhone, but the connection was severed, or the computer’s security software blocked the transfer.” Sometimes a jailbreak tweak left behind, or a
Firewalls and antivirus software act as gatekeepers. Sometimes, they mistakenly identify the data packets sent by Apple during a restore as a threat and block the connection, resulting in Error -4045. Sometimes a jailbreak tweak left behind
Navigate to C:\Windows\System32\drivers\etc . Open the hosts file with Notepad (as Administrator). or a piece of malware
You need to force iTunes to download a fresh copy of the iOS software.