Have fun. It sounds like a great adventure. Smart water bottles work well. I use a light weight nalgene that I like better because it doesn't weigh that much more than a smart botte, it has a wider mouth which is easier for me to fill, and is thicker for a little more durability. I do nalgene for backpack hunts and bladder with my day pack or bino harness. For electrolytes, I use salt stick capsules. I don't like adding something to my water and the salt sticks have worked very well for me.
I've had poor luck with filters. That being said, that was years ago and they may be better now. Mine would always silt up and clog. I recommend carrying a replacement filter. I carry micropur tablets. They are ClO2, and don't leave a chlorine or iodine taste. Typically fill water needed the next day the night before and treat. More than ready by morning. I do not treat cooking water.
Carrying 4 liters/per day is a lot. 2.2 lbs/liter adds up quickly.
Plan on cooking in the morning/evening. I saw 3 peaks/day. Maybe you're doubling up at a meal. I would plan on 2 warmed meals a day. Personally, I like oatmeal in the morning w/coffee. That started before there were good freeze dried breakfasts. Figure out bars/snacks during the day. I tend to lose my appetite on backpack hunts. I would drink something warm and caloric before dinner while I waited for my meal to heat such as powered cider or miso soup. I also eat sour candy during the day to up my appetite.
Take care. I look forward to the trip report.
Edit add: Have a cooler in the truck with rehydrating drinks. If you're packing out heavy, it's nice to know something cold and refreshing is waiting for you. It also helps to think about keeping base camp essentials in the truck in case you need it ie when packing out late, heavy, and cold and then needing to turn around the next morning for another lap.