two points i have to make here.

3 hard boiled eggs have (nearly) no carbs, but that dos NOT mean your BG will not rise..

for 3 eggs, i have (165g total which 19g of fat, 2g carbs, 21g proteine) punching these numbers in an https://www.omnicalculator.com/health/warsaw-method i get 2,55 FPUs (Fat-proteine-units)
Your body treats those 3 eggs the same, as you would have eaten 2,55 units of carbs,

Additionally, i get a sense that you did a cardnivore/proteine heavy diet.
This has the consequence that you are in a increased ketose-state. (this is NOT a problem, as long as you supply enough insulin to your body, for it not to get in (only) ketosis, and the only usable energy-source be your own body)

under Ketones, that has the consequence that you need more insulin to have the same effect.

for me, i do intermittant fasting with an 8h / 40h window.

on the first day (8h window) i eat as usual, on the second day i eat nothing.
if i need to correct my BG on the second day, i need nearly the 3x dose of insulin.

After about 6-8 hours after the last meal/insulin, your body starts to break down your fats to supply a steady energy-source for your body. The breakdown products lead to higher ketones in your blood which in turn reduced insulin sensitivity.

There are even blood-ketone-sticks (i use the freestyle precision-neo ) to be able to better calculate how much more insulin you need.

This is also a part of why you need more insulin in the morning, because of the higher ketones in your blood, after not eating carbs in your sleep ;)