fix(footer): render sticky Close+Help footer on the home page too

The sticky footer was only wired into the 9 tool pages — the home
page (``_home.py``) called ``hide_streamlit_chrome`` but never
``render_sticky_footer``, so the app-level Close+Help bar was
missing whenever the user was on the home page. Add the call.

Also drop the home page's now-redundant trailing
``st.divider() + st.caption(t("chrome.footer"))`` block — same
"blank white bar above the sticky footer" symptom that motivated
removing the per-page version from the tool pages.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

src/gui/_home.py

@@ -53,7 +53,11 @@ def _home_page() -> None:
     wipes the analysis cache, not the upload stash — the files
     persist until the user explicitly removes them.
     """
-    from src.gui.components import hide_streamlit_chrome, render_findings_panel
+    from src.gui.components import (
+        hide_streamlit_chrome,
+        render_findings_panel,
+        render_sticky_footer,
+    )
     from src.gui.components._legacy import _run_analysis_on_upload
     from src.i18n import t
 
@@ -63,6 +67,7 @@ def _home_page() -> None:
         layout="wide",
     )
     hide_streamlit_chrome()
+    render_sticky_footer()
 
     st.title(t("home.title"))
     st.caption(t("home.caption"))
@@ -255,6 +260,3 @@ def _home_page() -> None:
                         header=f"📄 {name}",
                         key_namespace=name,
                     )
-
-    st.divider()
-    st.caption(t("chrome.footer"))