It’s actually not the wp admin bar. I went on page and just explored. When i clicked the logo i saw the problem you stated and inspected it to see whats causing it.
I started looking in whats above the header and started deleting some stuff until i stumbled upon something that fixed the “margin”.
Just click on the pic and you’ll see it. I deleted this image I marked red. Then the header jumped back to normal. There is a lot above your header that i think is unnecessary and thereby taking up that space randomly. I hope you can find out where that image comes from because I cant really go into your wordpress :p
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solved Unexplainable margin @ top of page [closed]