a. Unzip UnrealTournament.zip
b. Place unzipped contents in your desired install location
You have two options here to bypass the Epic Games Launcher (a OR b, don't do both):
a. Install UT4UU (Unofficial Patch) - v10.1.6 *recommended
b. Create a UT4.exe shortcut and add target parameters to it
You must connect to the new master server and create an account on it to be able to play UT4 online.
If you have UT4UU installed:
Text instructions to connect with UT4UU
Video instructions to connect with UT4UU
If you do NOT have UT4UU installed:
Game startup errors mentioning CorsairRGB means you need to install Visual C++ Redistributable Packages for Visual Studio 2013 - (link here)
Game startup errors mentioning INPUT1_3.dll / DirectX means you need to install Microsoft DirectX End-User Runtime - (link here)
For more troubleshooting, click here