Bot factory has a turn order track that is read from right to left. It has roughly 10 positions that are separated into 4 regions. You can not choose a similar spot in the same region as your previous turn. Additionally, there is a worker that will always move from one section to the next, occupying the next available slot. This is the AI-worker and essentially a fifth player with special rules.
Burgundy player turn is determined also by a track, players can occupy the same slot. The position is marked by stackable player tokens with the top player of the stack going first. The last player to advance to the next section of the track will play first but the next player to advance there will be stacked on top and thus become the first. However, there is an ability that can be acquired by one player during the game which makes their stackable player token always be on the top, irrespective of when others join their stack