Can Tryndamere's ability get you the 8th point to win the game?

Ruling: Yes, Tryndamere's ability can get you the 8th point. Only conquering has the restriction that you need to have scored from all other battlefields that turn for it to give you the final point.

Nuances:

• You can hold one battlefield and conquer the other to win
• You cannot conquer a battlefield you held that same turn
• You don't need to control the first battlefield anymore at the time you conquer the second
• You just need to have scored from the other battlefield that turn, either from holding or conquering
• The final point can be gained by holding a single battlefield; you do not need to hold both