The home/DM tile previously set backgroundStyle to undefined — the
button had no fill, so the existing rounded-[20px] → rounded-[13px]
corner-radius transition had nothing to morph and produced zero
hover/active feedback. The regression became visible after the icon
rebrand: the old logo.png shipped a #1d1d1b rounded-square that
filled the tile and gave it a de-facto background; the new bare-mark
logo is centred with transparent padding, exposing the missing
button bg.
Apply the same pattern as the existing 'action' tile: a translucent
white surface that brightens through three states (rest/hover/active)
so both the corner morph and the fill change are visible. Active
state (rgba 0.10) is the strongest because it signals 'you are on
the home page right now', complementing the existing pill indicator
on the left edge.
Jannis Braun
695f699ddf