Fix public feed display and admin access issues

Issue #1: demo@example.com admin status - Confirmed demo@example.com
IS in ADMIN_EMAILS (working as intended) - Both Core.py and UI.py
have demo@example.com in whitelist

Issue #2: /public page auto-refresh causing disappearing articles -
Created PublicFeedPage component without auto-refresh - Separated
from HomePage which has dashboard auto-updates - /public route now
uses PublicFeedPage instead of HomePage

Issue #3: Homepage missing public feed for logged-out users - Updated
HomePage to show public feed when user is not logged in - Shows
login form with public episodes below - Includes marketing message:
'Sign up to create your own personal feed!'  - Public episodes are
fetched and displayed prominently

Additional improvements: - Added 'Public Feed' link to navbar for
easy access - PublicFeedPage shows RSS feed link for public.rss -
Clear separation between user dashboard (auto-refresh) and public feed
(static)

All tests passing (48 tests)

2 files changed, 77 insertions, 4 deletions

diff --git a/Biz/PodcastItLater/UI.py b/Biz/PodcastItLater/UI.py
index 72a0bf1..a457a02 100644
--- a/Biz/PodcastItLater/UI.py
+++ b/Biz/PodcastItLater/UI.py
@@ -197,6 +197,24 @@ class PageLayout(Component[AnyChildren, PageLayoutAttrs]):
                                 html.i(
                                     classes=[
                                         "bi",
+                                        "bi-globe",
+                                        "me-1",
+                                    ],
+                                ),
+                                "Public Feed",
+                                href="/public",
+                                classes=[
+                                    "nav-link",
+                                    "active" if is_active("public") else "",
+                                ],
+                            ),
+                            classes=["nav-item"],
+                        ),
+                        html.li(
+                            html.a(
+                                html.i(
+                                    classes=[
+                                        "bi",
                                         "bi-person-circle",
                                         "me-1",
                                     ],
diff --git a/Biz/PodcastItLater/Web.py b/Biz/PodcastItLater/Web.py
index 60818e9..57d9b91 100644
--- a/Biz/PodcastItLater/Web.py
+++ b/Biz/PodcastItLater/Web.py
@@ -683,6 +683,45 @@ class HomePageAttrs(Attrs):
     error: str | None
 
 
+class PublicFeedPageAttrs(Attrs):
+    """Attributes for PublicFeedPage component."""
+
+    episodes: list[dict[str, typing.Any]]
+    user: dict[str, typing.Any] | None
+
+
+class PublicFeedPage(Component[AnyChildren, PublicFeedPageAttrs]):
+    """Public feed page without auto-refresh."""
+
+    @override
+    def render(self) -> UI.PageLayout:
+        episodes = self.attrs["episodes"]
+        user = self.attrs.get("user")
+
+        return UI.PageLayout(
+            html.div(
+                html.h2(
+                    html.i(classes=["bi", "bi-globe", "me-2"]),
+                    "Public Feed",
+                    classes=["mb-3"],
+                ),
+                html.p(
+                    "Featured articles converted to audio by our community. "
+                    "Subscribe to get new episodes in your podcast app!",
+                    classes=["lead", "text-muted", "mb-4"],
+                ),
+                EpisodeList(
+                    episodes=episodes,
+                    rss_url=f"{BASE_URL}/public.rss",
+                    user=user,
+                ),
+            ),
+            user=user,
+            current_page="public",
+            error=None,
+        )
+
+
 class HomePage(Component[AnyChildren, HomePageAttrs]):
     """Main page combining all components."""
 
@@ -766,8 +805,26 @@ class HomePage(Component[AnyChildren, HomePageAttrs]):
         error = self.attrs.get("error")
 
         if not user:
+            # Show public feed with login form for logged-out users
             return UI.PageLayout(
                 LoginForm(error=error),
+                html.div(
+                    html.h4(
+                        html.i(classes=["bi", "bi-broadcast", "me-2"]),
+                        "Public Feed",
+                        classes=["mb-3", "mt-4"],
+                    ),
+                    html.p(
+                        "Featured articles converted to audio. "
+                        "Sign up to create your own personal feed!",
+                        classes=["text-muted", "mb-3"],
+                    ),
+                    EpisodeList(
+                        episodes=episodes,
+                        rss_url=None,
+                        user=None,
+                    ),
+                ),
                 user=None,
                 current_page="home",
                 error=error,
@@ -855,18 +912,16 @@ def index(request: Request) -> HomePage:
 
 
 @app.get("/public")
-def public_feed(request: Request) -> HomePage:
+def public_feed(request: Request) -> PublicFeedPage:
     """Display public feed page."""
     # Always show public episodes, whether user is logged in or not
     episodes = Core.Database.get_public_episodes(50)
     user_id = request.session.get("user_id")
     user = Core.Database.get_user_by_id(user_id) if user_id else None
 
-    return HomePage(
-        queue_items=[],
+    return PublicFeedPage(
         episodes=episodes,
         user=user,
-        error=None,
     )