Extract the contents of that zip into your game folder. There should now be a "RE2R_AP_Client-x.x.x" folder.
Go into that new "RE2R_AP_Client-x.x.x" folder. Copy everything. Paste it into your game folder. (It should ask you to overwrite the "reframework" folder, choose Yes.)
4
Verify that mods are installed.
Open your game normally and click through until you see the RE2R title screen.
If you see both a "REFramework" and a couple of "Archipelago" windows in-game, the install worked!