Fox Hunting Game

This is a game to be played outdoors. There are 3 types of players: The fox, the hunters who must hunt it and the spectators.
The fox must invite the hunters to the game. Once the invitations are accepted, everyone will see their location on the map and can communicate by voice. At this point they must physically move away. Then the fox defines a target at a certain distance and time from the current position.
When the fox starts the game, it must reach its target before the hunters intercept it (being at a distance of less than 10 meters). The hunters know at all times through a map the position of all of them except the position of the fox, but they have information about the distance at which each hunter is from the fox and the distance of the fox to the target.
The fox knows the position of all the players. The position of the fox is displayed randomly for 1 second to make the game easier for the hunters. The spectators can only hear and see the others but cannot participate in the conversations.