refactor(web): replace entry global header with sidebar brand + reorder bottom chips

Pre-existing layout: a global \`AppChromeHeader\` strip sat across the
whole top of EntryView (logo + settings gear), then a 2-column body
below it. Visual mass concentrated in a thin horizontal bar that did
not relate to the page's column structure, and the settings gear
duplicated the bottom Local-CLI chip.

New layout matches the two-column "brand-in-sidebar + tabs-in-main"
pattern: the brand block lives at the top of \`.entry-side\` (left
column), the right tabs live at the top of \`.entry-main\`, and the
vertical divider between them is the only horizontal seam.

EntryView:

- Drop \`<AppChromeHeader actions={avatarMenu} />\` from EntryView's
  render — the home page no longer renders the global chrome strip.
  (ProjectView still uses AppChromeHeader for back-nav / file
  actions, so the component itself stays in the codebase.)
- Add a sidebar brand block inside \`.entry-side\` using the
  already-defined \`.entry-brand\` / \`.entry-brand-mark\` /
  \`.entry-brand-title\` classes that were sitting dead in
  index.css.
- Reorder \`.entry-side-foot\` chips so that the env-critical
  Local CLI row sits on top of the row, with the secondary
  toggles (language picker, pet adoption, X follow icon) compact
  on a second row. The Follow @nexudotio chip drops its text
  label and becomes icon-only — pure marketing content, so it no
  longer earns a full-width pill.
- Settings access moves entirely to the Local CLI chip's existing
  click handler; the top-right gear is gone (it was a duplicate).

CSS:

- \`.entry-shell\` grid: \`auto 1fr\` → \`1fr\` (no header row).
- \`.entry-side\` background: \`var(--bg-panel)\` → \`transparent\`,
  so the sidebar shares the page beige and only the New-prototype
  card reads as white. Removes the "everything on the left is on
  one big white sheet" feeling.
- \`.entry-brand\` gets \`padding: 24px 20px 18px\` so the logo +
  title block has breathing room at the top of the sidebar.
- \`.entry-brand-mark\` width/height \`44 → 34\`. The previous
  44px gradient ring was visually heavier than the title text it
  sat next to.
- \`.entry-brand-title\` weight \`600 → 450\`, color
  \`var(--text-strong)\` → \`var(--text)\`. Serif title still
  reads as the page anchor without the chunky "bold black" stamp.
- \`.entry-brand-actions\` added for future right-aligned actions
  (carries no actual content in this commit — kept so re-adding a
  settings/avatar entry point doesn't need new CSS).
- \`.entry-side-foot .foot-pill\` slim pass: padding
  \`4px 10px → 3px 8px\`, font \`11.5px → 10.5px\`, gap \`6 → 5\`,
  plus \`justify-content: center\` and \`min-height: 24px\` so the
  icon-only Follow pill stays the same height as the text pills
  next to it.

apps/web/src/components/EntryView.tsx

@@ -469,7 +469,6 @@ export function EntryView({
 
   return (
     <div className="entry-shell">
-      <AppChromeHeader actions={avatarMenu} />
       <div
         className={`entry${petRailHidden ? '' : ' has-pet-rail'}`}
         style={{
@@ -479,6 +478,16 @@ export function EntryView({
         }}
       >
       <aside className="entry-side" style={{ width: sidebarWidth }}>
+        <div className="entry-brand">
+          <span className="entry-brand-mark" aria-hidden>
+            <img src="/app-icon.svg" alt="" className="brand-mark-img" draggable={false} />
+          </span>
+          <div className="entry-brand-text">
+            <div className="entry-brand-title-row">
+              <span className="entry-brand-title">{t('app.brand')}</span>
+            </div>
+          </div>
+        </div>
         <NewProjectPanel
           skills={skills}
           designSystems={designSystems}
@@ -496,7 +505,26 @@ export function EntryView({
           loading={skillsLoading || designSystemsLoading}
         />
         <div className="entry-side-foot">
+          <button
+            type="button"
+            className="foot-pill foot-pill-env"
+            onClick={() => onOpenSettings()}
+            aria-label={t('settings.envConfigure')}
+            title={t('settings.envConfigure')}
+          >
+            <Icon name="settings" size={12} />
+            <span>
+              {config.mode === 'daemon'
+                ? t('settings.localCli')
+                : apiProtocolLabel(config.apiProtocol)}
+            </span>
+            <span style={{ color: 'var(--text-faint)' }}>·</span>
+            <span style={{ overflow: 'hidden', textOverflow: 'ellipsis', whiteSpace: 'nowrap', maxWidth: 180 }}>
+              {envMetaLine}
+            </span>
+          </button>
           <div className="entry-side-foot-row">
+            <LanguageMenu />
             <button
               type="button"
               className={`foot-pill pet-pill${config.pet?.adopted ? '' : ' pet-pill-fresh'}`}
@@ -530,28 +558,8 @@ export function EntryView({
               aria-label="Follow @nexudotio on X"
             >
               <Icon name="external-link" size={12} />
-              <span className="foot-pill-follow-label">Follow @nexudotio</span>
             </a>
           </div>
-          <button
-            type="button"
-            className="foot-pill"
-            onClick={() => onOpenSettings()}
-            aria-label={t('settings.envConfigure')}
-            title={t('settings.envConfigure')}
-          >
-            <Icon name="settings" size={12} />
-            <span>
-              {config.mode === 'daemon'
-                ? t('settings.localCli')
-                : apiProtocolLabel(config.apiProtocol)}
-            </span>
-            <span style={{ color: 'var(--text-faint)' }}>·</span>
-            <span style={{ overflow: 'hidden', textOverflow: 'ellipsis', whiteSpace: 'nowrap', maxWidth: 180 }}>
-              {envMetaLine}
-            </span>
-          </button>
-          <LanguageMenu />
         </div>
         <button
           type="button"

apps/web/src/index.css

@@ -3656,7 +3656,7 @@ code {
    ============================================================ */
 .entry-shell {
   display: grid;
-  grid-template-rows: auto 1fr;
+  grid-template-rows: 1fr;
   height: 100vh;
   min-height: 0;
   background: var(--bg);
@@ -3672,7 +3672,7 @@ code {
 
 .entry-side {
   border-right: 1px solid var(--border);
-  background: var(--bg-panel);
+  background: transparent;
   display: flex;
   flex-direction: column;
 }
@@ -3681,10 +3681,16 @@ code {
   display: flex;
   align-items: center;
   gap: 12px;
+  padding: 24px 20px 18px;
+}
+.entry-brand-actions {
+  margin-left: auto;
+  display: inline-flex;
+  align-items: center;
 }
 .entry-brand-mark {
-  width: 44px;
+  width: 34px;
-  height: 44px;
+  height: 34px;
   border-radius: 50%;
   background: linear-gradient(135deg, var(--accent-tint) 0%, var(--accent-soft) 100%);
   color: var(--accent);
@@ -3711,11 +3717,11 @@ code {
 }
 .entry-brand-title {
   font-family: var(--serif);
-  font-weight: 600;
+  font-weight: 450;
   font-size: 22px;
   letter-spacing: -0.015em;
   line-height: 1;
-  color: var(--text-strong);
+  color: var(--text);
 }
 .entry-brand-pill {
   font-size: 10.5px;
@@ -4792,12 +4798,14 @@ code {
 .entry-side-foot .foot-pill {
   display: inline-flex;
   align-items: center;
-  gap: 6px;
+  justify-content: center;
-  padding: 4px 10px;
+  gap: 5px;
+  padding: 3px 8px;
+  min-height: 24px;
   background: var(--bg-subtle);
   border: 1px solid var(--border);
   border-radius: var(--radius-pill);
-  font-size: 11.5px;
+  font-size: 10.5px;
   color: var(--text-muted);
   align-self: flex-start;
   cursor: pointer;