Clean up make-move payloads across the system

[Terkwood]

Description

In #352, we decided not to address the annoying format of MakeMove payloads seen in micro-judge, botlink (fn xadd_make_move_command), and gateway. We chose to let micro-sync use the confusing format.

In this ticket, let's standardize this payload to use the one found in move-model.

Services to update

• [ ] judge
• [ ] sync
• [ ] gateway
• [ ] botlink fn xadd_make_move_command