>I find myself being "lazy" in my thought. I don't how else to put it. For example, if I get presented a new piece of information, I would feel too lazy to really dissect it, build examples, counterexamples etc... And that takes away a lot from building intuition. Basically not "actively" thinking.

bb, you just described the impacts of a lack of sleep: you can't just LPT your way out of the effects of being unable to sleep. You need quality sleep to be able to think properly, as it's how your brain heals itself and maintains your memories/ability to think. This will only get worse if you try to find ways to not sleep.

Since you've already tried the sleep hygiene stuff (the first step) and that didn't work, you need to find out why you have insomnia, and ideally work with a professional about solutions. Whether or not you see a pro, you'll need to answer some questions in order to pinpoint the cause, such as:

When did these symptoms start? What changed in your life? Is it possible that the cause is anxiety or depression, and/or is your lack of sleep trauma related? What happens when you try to sleep?