bug(workspace): Spotlight and Tiled Tabs ignore the Status Mode and worktree badge settings #856

Expected

Settings → Status Mode and Settings → worktree badges apply to every workspace surface that renders agent panes: Grid, Dispatch, Tiled Dispatch, Spotlight and Tiled Tabs.

Actual

Spotlight and Tiled Tabs ignore both settings. With Status Mode off, a spotlighted pane, or any pane in Tiled Tabs, still fills its header with the accent color while the agent runs. Worktree badges show the same way when disabled.

Root cause

TileTree and renderWorkspaceLeaf (src/renderer/src/workspace/tile-tree/TileTree.tsx) default showStatusMode and showWorktreeBadges to true. SpotlightView calls renderWorkspaceLeaf(...) without them, and TileTabsView renders <TileTree> without them, so both always get the defaults. MainSurface passes these views only agentViewMode. git log -S showStatusMode shows neither view has ever received the props; it is an omission, not a design choice.

Reproduce

1. Turn Status Mode off in Settings.
2. Spotlight a running agent, or open Tiled Tabs while an agent runs.
3. The pane header lights up anyway. Grid and Dispatch correctly stay unlit.

Impact

User-visible: the settings don't do what they say on two surfaces. Found in review of #853, which would otherwise have extended the same wrong default to terminal-view panes.

Environment

main at 48ea691.