The scaling of the logo makes it fuzzy.
Will Discourse accept object oriented drawing formats? A PNG or SVG could scale to any resolution without becoming blurry.
This is what appears on my phone as discourse initially loads:
Barrie ( @bjpcorp ) attached a stencil with some clean logos that could have the “Gramps Genealogical Research Software” applied as text to replace tge banner
https://gramps-project.org/bugs/view.php?id=12497