The design omnibar shows the host in ink-1 weight 500 and the path in
ink-3, switching to a plain editable address only while the user types.
The shell now compares the input value to the active tab URL: when they
match (and the URL isn't ely://new-tab) the omnibar renders the styled
host/path display; clicking it routes through focus_address_bar which
re-mounts the Input via the same listener that already drove typing.
Internal: render_lock_or_search picks Search vs Globe based on the URL
scheme so insecure pages get a different leading glyph in display mode.
ZacharyZhang-NY
a8deebcf1a