Final answer:
In the fictional Battle of the Lake on the Dream SMP server, BadBoyHalo joined Sapnap's side.
Step-by-step explanation:
In regards to the student's question concerning the Battle of the Lake, it is necessary to clarify that this battle is not part of a historical event but rather related to the video game as depicted in the Dream SMP, which is a server that features an ongoing storyline created by content creators. During the Battle of the Lake, which is one of the conflicts in the Dream SMP narrative, BadBoyHalo sided with Sapnap. This event is part of a fictional storyline and includes well-known content creators as its characters.