fix(Dock): Refactor & Fix Dock in FrameModes. Updates to Zone offset in Standalone & Connected modes

- Fixed hairline seam in some connected mode variants
- Moved dock-related properties to a new DockGeometry component for a future base

quickshell/Modules/Dock/DockGeometry.qml

@@ -0,0 +1,61 @@
+pragma ComponentBehavior: Bound
+
+import QtQuick
+import qs.Common
+
+QtObject {
+    id: root
+
+    property var screen: null
+    property string edge: "bottom"
+    property bool dockVisible: false
+    property bool autoHide: false
+    property bool hasFullscreenToplevel: false
+    property real iconSize: 40
+    property real spacing: 4
+    property real borderThickness: 0
+    property real offset: 0
+    property real margin: 0
+    property real barSpacing: 0
+    property real dpr: 1
+
+    function px(value) {
+        return Math.round(value * dpr) / dpr;
+    }
+
+    readonly property bool frameExclusionActive: SettingsData.frameEnabled && !!screen && SettingsData.isScreenInPreferences(screen, SettingsData.frameScreenPreferences)
+    readonly property bool connectedMode: Theme.isConnectedEffect
+    readonly property bool connectedBarActiveOnEdge: connectedMode && !!screen && SettingsData.getActiveBarEdgesForScreen(screen).includes(edge)
+
+    readonly property real connectedJoinInset: {
+        if (connectedMode)
+            return connectedBarActiveOnEdge ? SettingsData.frameBarSize : SettingsData.frameThickness;
+        if (SettingsData.frameEnabled)
+            return SettingsData.frameEdgeInsetForSide(screen, edge);
+        return 0;
+    }
+
+    readonly property real frameInset: {
+        if (!frameExclusionActive)
+            return 0;
+        if (connectedMode)
+            return connectedJoinInset;
+        return SettingsData.frameThickness;
+    }
+
+    readonly property real effectiveMargin: connectedMode ? 0 : margin
+    readonly property real visualOffset: connectedMode ? 0 : offset
+    readonly property real reserveOffset: offset
+    readonly property real joinedEdgeMargin: connectedMode ? 0 : (barSpacing + effectiveMargin + 1 + borderThickness)
+    readonly property real bodyEdgeMargin: frameInset + joinedEdgeMargin
+
+    readonly property real bodyThickness: iconSize + spacing * 2 + borderThickness * 2
+    readonly property real visualThickness: bodyThickness + 10
+    readonly property real surfaceThickness: frameInset + visualThickness + spacing + effectiveMargin
+    readonly property real motionThickness: surfaceThickness + visualOffset
+
+    // Frame/bar edge exclusions already reserve the edge itself, so the dock
+    // reservation covers only the dock body and user offset beyond that edge.
+    readonly property real reserveZone: px(bodyThickness + reserveOffset + effectiveMargin)
+    readonly property bool shouldReserveSpace: dockVisible && !hasFullscreenToplevel && !autoHide && barSpacing <= 0
+}