Multiple Forced End events can be gone to in the same phase.
If there is a Forced End:
If it occurs during Round Effects, the player who is first in join order still has their turn.
If it occurs before an Effects Phase, the turn player's cooldowns don't tick down.
Any current event for a phase ends immediately with the game having no further direct influence from that event (with the exception of joining House Reyne if the Forced End is in the Pick A House event.)
If the turn player has an Extra Turn right after their current turn, they don't lose it.