Launch upper-left with 75px padding; stop restoring window position

Creator ruling: open in the upper-left of the screen with ~75px padding. The
restore path was placing the window below the fold.

RestoreWindowGeometry now ignores the saved position and calls the pure
TopLeftPlacement(workArea, w, h, padding): work-area origin + LaunchPadding
(75, in DIPs so it scales with DPI), clamped so the window is never pushed
off-screen. A window that fits stays wholly visible; one too big to fit falls
back to the work-area origin.

Size and maximized state are still persisted -- only position was dropped. The
size clamp is unchanged (saved values clamp to [MinWidth, work.Width], which is
why a saved 800x500 returns as 1366x768 per the XAML minimums).

The old clamp tolerated Left as low as work.Left - width + 120 and Top up to
work.Bottom - 80, ranges wide enough to leave the window almost entirely
off-screen while still looking like a successful clamp. A clamp that permits
the window to be unreachable is worse than none: it reads as a guarantee it
does not keep.

BroadcastPullOutTests is renamed ..._Window_Launches_TopLeft_... and now asserts
the constructor applies the derived placement for both an on-screen and a -99999
saved position. Placement math is covered by WindowPlacementTests as a pure
function needing no HWND.

Suite 395/395, 0 warnings.

ytLive.Tests/BroadcastPullOutTests.cs

@@ -23,7 +23,7 @@ public sealed class BroadcastPullOutTests
     private readonly RealAppHost _app;
 
     [Fact]
-    public void Metadata_Persists_WindowRestores_Clamped_And_UpdatePatchesRemote()
+    public void Metadata_Persists_Window_Launches_TopLeft_And_UpdatePatchesRemote()
     {
         _app.Run(Run);
     }
@@ -89,11 +89,16 @@ public sealed class BroadcastPullOutTests
             using (var writer = new LayoutStore(tempDb))
                 writer.SaveWindowState(100, 50, 1500, 900, "Normal");
 
+            var work = System.Windows.SystemParameters.WorkArea;
+
             window = new MainWindow();
             Assert.Equal(1500, window.Width);
             Assert.Equal(900, window.Height);
-            Assert.Equal(100, window.Left);
-            Assert.Equal(50, window.Top);
+            // Launch POSITION is derived, never restored (2026-10-04). The 100,50 saved
+            // above is deliberately ignored: restoring it is what let the window come
+            // back below the fold, which is the whole reason this behaviour changed.
+            Assert.Equal(Math.Min(work.Left + 75, work.Right - 1500), window.Left);
+            Assert.Equal(Math.Min(work.Top + 75, work.Bottom - 900), window.Top);
 
             window.Close();
             window = null;
@@ -102,11 +107,15 @@ public sealed class BroadcastPullOutTests
                 writer.SaveWindowState(-99999, -99999, 800, 500, "Normal");
 
             window = new MainWindow();
-            var work = System.Windows.SystemParameters.WorkArea;
-            Assert.Equal(1366, window.Width);
-            Assert.Equal(768, window.Height);
-            Assert.InRange(window.Left, work.Left - window.Width + 120, work.Right - 120);
-            Assert.InRange(window.Top, work.Top, work.Bottom - 80);
+            Assert.Equal(1366, window.Width); // saved 800 clamps up to MinWidth
+            Assert.Equal(768, window.Height); // saved 500 clamps up to MinHeight
+            // A wildly off-screen saved position (-99999) no longer influences placement
+            // at all — the old clamp tolerated Left as low as work.Left - Width + 120,
+            // i.e. the window could sit almost entirely off the left edge.
+            Assert.Equal(Math.Min(work.Left + 75, work.Right - window.Width), window.Left);
+            Assert.Equal(Math.Min(work.Top + 75, work.Bottom - window.Height), window.Top);
+            Assert.InRange(window.Left, work.Left, work.Right - window.Width);
+            Assert.InRange(window.Top, work.Top, work.Bottom - window.Height);
 
             var auth = new YouTubeAuthService("test-client", "test-secret");
             auth.SetSession(new YouTubeChannel