fix(desktop): one git glyph on the composer's coding row, with the PR number leading

The branch's PR chip carried its own pull-request icon next to the row's
branch glyph, so the strip opened with two git marks in a row. The chip now
takes showIcon, and the coding row renders it glyph-less and ahead of the
branch name — the leading branch icon covers both, and the row reads
icon → #number → branch. Sidebar rows keep the full chip.

apps/desktop/src/app/chat/composer/status-stack/coding-row.tsx

@@ -220,6 +220,11 @@ export const CodingStatusRow = memo(function CodingStatusRow({
           }
         >
           <div className="flex min-w-0 flex-1 items-center gap-1">
+            {/* PR number first, right against the leading git glyph — the chip
+                borrows that icon instead of carrying a second one of its own
+                (`showIcon={false}`), so the row reads glyph → #number → branch. */}
+            {pr && <PrTag pr={pr} showIcon={false} />}
+
             {/* Branch name — the other half of the review-pane target. `contents`
                 so the button lays out nothing of its own: the label stays the
                 same flex child it always was, and the hit area is the text. */}
@@ -229,8 +234,6 @@ export const CodingStatusRow = memo(function CodingStatusRow({
               </span>
             </button>
 
-            {pr && <PrTag pr={pr} />}
-
             {/* Worktree path + copy — plain muted text, not a chip. Always in the
                 flex so hover doesn't reflow the row; opacity alone reveals the
                 pair. The path sizes to its content (the `flex-1` lives on the

apps/desktop/src/app/chat/pr-tag.tsx

@@ -22,8 +22,18 @@ export function openPullRequest(pr: HermesBranchPullRequest): void {
 
 /** The branch's PR as a row chip: state glyph plus number, tooltipped with the
  *  title, and a link to the PR on click. Identity like {@link ProfileTag} —
- *  never a status dot. */
-export function PrTag({ className, pr }: { className?: string; pr: HermesBranchPullRequest }) {
+ *  never a status dot. `showIcon={false}` drops the glyph for rows that already
+ *  lead with a git icon the number can sit against (the composer's coding row),
+ *  so the chip doesn't stack a second one beside it. */
+export function PrTag({
+  className,
+  pr,
+  showIcon = true
+}: {
+  className?: string
+  pr: HermesBranchPullRequest
+  showIcon?: boolean
+}) {
   const style = PR_STYLE[pullRequestBucket(pr)] ?? PR_STYLE.open
 
   return (
@@ -51,8 +61,9 @@ export function PrTag({ className, pr }: { className?: string; pr: HermesBranchP
         onPointerDown={event => event.stopPropagation()}
         type="button"
       >
-        <Codicon name={style.icon} size="0.75rem" />
-        <span className="underline-offset-1 group-hover/pr:underline">{pr.number}</span>
+        {showIcon && <Codicon name={style.icon} size="0.75rem" />}
+        {/* Without the glyph the number needs the `#` to still read as a PR. */}
+        <span className="underline-offset-1 group-hover/pr:underline">{showIcon ? pr.number : `#${pr.number}`}</span>
       </button>
     </Tip>
   )