Rebuild the landing page fresh every time Home is pressed

LANDING_URL was computed once at app startup, and Home just kept
reloading that same startup-time snapshot — so the "Recent Sessions"
list never showed anything recorded during the current run until the
whole app was restarted. go_home() now calls _write_landing_page()
again right before navigating; it writes to the same fixed path and
returns the same URL each time; so this is a pure data-freshness fix,
nothing else needed to change.

browser_session.py

@@ -1868,7 +1868,14 @@ class Api:
         # mechanism the report page's own navigation already relies on.
         print("[browser_session] go_home() called from JS")
         try:
-            self.window.load_url(LANDING_URL)
+            # _write_landing_page() writes to the same fixed path every
+            # time and returns the same URL — but LANDING_URL itself was
+            # only ever computed once, at app startup, so the "Recent
+            # Sessions" list it baked in went stale after the first session
+            # of the run. Rebuild it fresh right before navigating so Home
+            # always reflects whatever sessions exist right now.
+            fresh_url = _write_landing_page()
+            self.window.load_url(fresh_url)
         except Exception as e:
             print(f"[browser_session] go_home failed: {e}")
         return True