Steve,
To answer your question, generally, 3L from Trail Camp to the Summit will suffice. Also take into account electrolyte replacement, which may be another 1/2 to 1 L.
I have always filled up at the inlet to the lake at Trail Camp, not from the lake. I'd rather have a "for sure" source when I'm refilling water and not be looking for a spring that may or may not be running at the exact time I am there. However, that's what works for me. Hike your hike.