Lan Wangji is not in bed.
It's later than he would usually be up, but he has to do this while no one else is around. When he and Wei Ying first found the Cold Cave, time had passed more quickly than they subjectively experienced it. Perhaps that was an enchantment Lan Yi had used to keep herself alive longer; it would still be in place now. Going at night means less time for everyone to notice him missing and be worried.
The night is clear, and cool for spring. Wangji quickly makes his way towards the cave's mountainside entrance, reviewing what he knows so far of his plans. Step 1: retrieve Yin Iron. Step 2: ask his ancestor for advice on the rest of his plan. Step 3: have Xichen seal the Iron away in a pouch like he did last time and get an early start on his Yin Iron-related quests. (Alone, this time. Like he was supposed to be last time).