Remove or style search bar by logo

Hi. I have the Pro version of Coral Dark.

Have a wider logo at https://www.turningleft.net. This crushes the size of the search bar next to the logo, leaving a large area of blank space between the two.

How can I style this area? Would like to increase, perhaps, the size of the logo to 100% (only 500px wide, 100 px tall). Already have the Child Theme installed.

I see I can also add social media buttons up there, so there has to be room.

Thanks for helping me understand the theme.

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