Ho @hdbondt – at the moment the height of that whole menu/header section is being dictated by the logo on the left. The menu items are aligned to the middle vertically of that logo, and then the whole section has padding on it.
Within the site editor – you’d be able to remove the padding on the elements (instructions below) but you’d still need to make the logo smaller as well – in order to get those elements closer to the top of the page.
https://ww.wp.xz.cn/documentation/article/dimension-controls-overview/#padding