Mods (desktop): PromptHint is never raised, and SessionMode is right-aligned and width-capped

Engine 2.1.289, Code tab of the desktop app (macOS).

The type definitions say PromptHint and SessionMode are "Raised on the terminal and desktop surfaces only". In practice:

1. ui.render for PromptHint is never called on the desktop surface (a probe that writes a file on every call never fires), so there is no way to draw in the empty space left of the footer, right after the + / mic / permission-mode controls.
2. SessionMode is called, but a rewrite of props.modes is not drawn at all; only a hook that returns its own tree is drawn.
3. That tree is right-aligned next to the model name and cut with an ellipsis at a short fixed width, even in a full-screen window with plenty of free space in the footer.

Request: raise PromptHint on desktop (or add a left-aligned footer site), draw modes rewrites, and let the SessionMode tree use the free width of the footer.

Use case: showing the prompt-cache time left and the current project/branch in the footer, which is otherwise dead space.

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