Hm. My totals are still off by a little. There's a lot to assume here -- the time spent on each card, the direction of movement (uni- or bilateral?), whether repeated cards include movement between . . . I feel like I got pretty close, though!
Solution attached... made the assumptions that the camera would always turn the shortest distance to the next card (never more than 180 degrees), but would do a full 360 degree turn when the same character was required twice in a row.
1. Camera moves left/right to shortest path to next card 2. If card is duplicate, return to 1 and then back to card 3. Camera stops on each card for 1 second