tiny addition: You can use the number keys 1,2,3,... not only for the negotiation games, but also for starting a production (supplies/ goods/ cultural goods) or recruitment - the numbers represent the slots (eg "3" is the 3rd unit slot in the barracks, "3" will start a 1h supplies production, "3" will start a 24h goods production - after opening the corresponding building)
The best thing about it: You can keep the number key pressed and click along a row of [production] buildings to start a production in each one. Quite handy when it comes to "finish a 5-minute-production 60 times" and similar ... challenging.. tasks.