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Any advice on how to break the "I can't do anything" loop?
Something I learned in therapy: thoughts create feelings. Internal narratives control everything. Don't treat them by giving yourself positive affirmations, but instead confront your thoughts. Actively dismantle them. None of the reasons you listed truly prevent you from doing what you need to do. Idk if this is true for you, but for me, sometimes when I encounter a problem, I start thinking of how to explain the issue to someone instead of thinking of solutions or taking the basic first steps that crossed my mind. Which is incredibly unhelpful and ends up creating a more complicated narrative.
Also, we don't need to be productive all the time. If your not getting the basics done then that's a problem, but there is a lot of unhealthy pressure out there to just be MORE productive. We procrastinate for a reason. It's so we don't use more energy than we truly need to. When things become important enough we take care of them.