gui: fix buttons not responding on first click

Replace full-pane MouseArea sloppy focus with HoverHandler which
does not interfere with click event delivery. Also increase timer
to 300ms and guard against redundant forceActiveFocus() calls.

gui/ChatPane.qml

@@ -490,25 +490,25 @@ Item {
 
 
 
-    // Sloppy focus — focus when mouse stops moving inside pane
-    MouseArea {
-        anchors.fill: parent
-        hoverEnabled: true
-        acceptedButtons: Qt.NoButton
-        propagateComposedEvents: true
-        onPositionChanged: {
-            sloppyTimer.restart()
-        }
-        onExited: {
-            sloppyTimer.stop()
+    // Sloppy focus — focus prompt when mouse hovers inside pane
+    HoverHandler {
+        id: sloppyHover
+        onHoveredChanged: {
+            if (hovered) {
+                sloppyTimer.restart()
+            } else {
+                sloppyTimer.stop()
+            }
         }
     }
     Timer {
         id: sloppyTimer
-        interval: 100
+        interval: 300
         onTriggered: {
-            paneRoot.focus = true
-            panePrompt.forceActiveFocus()
+            if (!panePrompt.activeFocus) {
+                paneRoot.focus = true
+                panePrompt.forceActiveFocus()
+            }
         }
     }