Merge pull request #569: feat(tabs): a per-device switch to hide the CLI logos on tabs

docs/cli-registry.md

@@ -36,7 +36,7 @@ These are the only writes to `clis.json`. They are serialized, and a file that d
 interface CliEntry {
   id: CliId; // 'codex'
   label: string; // 'Codex' — shown in menus
-  shortBadge: string; // short label ("Run CX", the Settings CLI list), e.g. 'CX'; tabs show the run-mode-dot logo instead
+  shortBadge: string; // short label ("Run CX", the Settings CLI list), e.g. 'CX'; tabs show the run-mode-dot logo instead (no mark at all with CLI Logos on Tabs off)
   accent: string; // single hex colour
   enabled: boolean;
   stock: boolean; // set by the loader; a custom entry can never claim it

docs/wiki/Settings-Reference.md

@@ -98,6 +98,7 @@ every session or only the active tab.
 | State Order            | For *By state*: needs you on top (default) or at the bottom, right above the terminal. |
 | Vertical Rail Order    | *By activity* (default) sorts the rail the way the home screens are sorted; *Manual* keeps your tab order and drag-reordering. With *By state* or *By case* it orders the rows inside each section. |
 | Tall Tabs              | Taller tab strip.                                                                          |
+| CLI Logos on Tabs      | Each agent tab, and its row on the desktop home rail, shows the CLI's logo before the name. Off hides those logos on this device; the status dot and the shell's SH badge stay, and tiles, split headers and the Run menus keep their logos. On by default. |
 | Pop-out Button on Tabs | Adds the detach control to tabs, with a per-tab override.                                  |
 | Spawn Lineage Lines    | Lines from each tab to the sessions it spawned; the selected tab's family is drawn thicker. Desktop only, on by default. |
 | Auto-name Sessions     | Titles a new tab after its first prompt, keeping the case prefix (`w3-myapp: fix the login redirect`). Synced, off by default. See [The Dashboard](The-Dashboard#automatic-session-names). |

docs/wiki/The-Dashboard.md

@@ -73,6 +73,10 @@ precedence there.
 
 One tab per session, in your order, and that order syncs across your devices.
 
+An agent tab shows its CLI's logo before the name, and a shell tab an `SH` badge. **CLI Logos
+on Tabs** (App Settings → Appearance → Tabs) hides the logos on that device; the tile and split
+headers and the Run menus keep theirs.
+
 **Status is carried by the dot and the tab's own styling:**
 
 | Look                          | Meaning                                                                 |