The sidebar's project order (manual, A-Z, Z-A, newest, recently used) is a
shared setting, but the mobile drawer ignored it and always rendered the
manual order, so a phone could not put the project you actually work in at
the top of the list.
Read the same setting in the drawer and offer it as a chip row under the
search field, which scrolls away with it — mobile navigation has no
overflow menu to hide it in, and a control touched once a month should not
hold permanent room above the list. Picking an order persists it the way
the desktop sidebar does, so the choice follows the user across surfaces.
Drag-to-reorder is offered only under the manual order, since dragging
rewrites exactly the order the other modes ignore.
The ordering itself moves into one helper the desktop sidebar now uses
too, so both surfaces answer the setting identically.
Testing: package type-check and lint; new unit tests for the helper plus
the sidebar list suite under the isolated runner; drove the mobile surface
in a browser against an isolated server (chips fit a 390px viewport,
switching to "recent" reorders the list, the reorder button hides, and the
choice reaches the server settings).