I don’t have enough experience to answer your question, but the second day is always the hardest for me, I’m currently on day 5 of a water fast and when I woke up on the third day I felt and still feel great. It might be worth it to try to push through today, but if your body is really not feeling it, you may want to listen to it.
keto is known as a fasting mimicking diet. people combine it with fasting all the time for the reason you described, myself included. i regularly go on/off keto. fasting when not fat adapted is so miserable.
doing keto/low carb will make fasting effortless. if you get fat adapted, you can absent mindedly slide into a fast without trying because you wont have an appetite, to such degree that thinking of food might even repel you. you wont get jittery because you wont have blood sugar issues, in fact you will have quite a bit of energy and wont have brain fog. calories still matter as much as ever. you just have to take the time to get fat adapted for 1-2 months, which means you will have to push through unpleasant symptoms like brain fog and low energy especially during the first couple weeks.
to answer your question: the more you deplete your liver glycogen, the easier the fast will be. so limit your carbs 1-3 days before fasts.
The second day’s always a bit more difficult.Take an electrolyte supplement and you’ll be ok. Might sound rude but if I were you I’d have a cup of black coffee and suck it up— that’s how I’m doing it.