Finally updated on GOG too, don't get hanged up on these numbers guys:

1.10 on Steam = 1.04 on GOG.

It seems this is the way they are doing it.

Jagged Alliance 3 (Part 1 of 5) 1.04 1 MB
Jagged Alliance 3 (Part 2 of 5) 1.04 4 GB
Jagged Alliance 3 (Part 3 of 5) 1.04 4 GB
Jagged Alliance 3 (Part 4 of 5) 1.04 4 GB
Jagged Alliance 3 (Part 5 of 5) 1.04 2.7 GB
Patch (1.03 to 1.04) 1.04 166 MB
Patch (1.02 to 1.03) 1.03 26 MB
Patch (1.0b to 1.1) 1.1 11 MB

and now it's 1.1.1a :D

This 1.1.1 hotfix does address some issues introduced in yesterdays patch while also fixing a few other issues.

List of fixes:

• Stability improvements and fixes for the black screen experienced by players
• Fixed a crash when talking to King Chicken
• Fixed an issue with items remaining stuck on screen after the inventory is closed
• Fixed an issue where combat will restart immediately after it ends
• Fixed an issue with cancelling Overwatch that will cause mercs to start with 0 AP
• Resolved a case where deployed mercs will not properly appear on the map
• Fixed an issue with several black screens flashing when Esc is pressed repeatedly in the Inventory
• Changed how tiredness is accumulated
• Updates to the modding documentation and the sample mods
• Restored Left-click to move in options

Does anyone else have a problem with Patch 1.04 - 1.1.1? The 7 MB Patch? Every time I try to install it, there is an error and I can't install it.

It tells me this:

Game patch log
Error modifying C:\Games\Jagged Alliance 3\JA3.exe
Error modifying C:\Games\Jagged Alliance 3\Packs\BinAssets.hpk
Error modifying C:\Games\Jagged Alliance 3\Packs\Data.hpk
Error modifying C:\Games\Jagged Alliance 3\Packs\Lua.hpk