The single-player campaign of Medal of Honor: Warfighter is fully playable without any update if you have the base version. Only multiplayer requires the 1.0.0.2 patch. Since official multiplayer is dead, you may not need any patch at all.
To install the update, follow these steps: medal of honor warfighter update 1002rar link
Patch 1.0.0.2 is often confused with versions for other games (like Escape from Tarkov ) or older, outdated trainers. Legal & Stability Issues: The single-player campaign of Medal of Honor: Warfighter