shell: intent wins the settle window, and a swap is a request for a keyboard

Two gaps in the owner-change handling, both found on device.

The push at adopt time can lose a race. osk-switch sleeps 0.3s before
its deliberate SetVisible(true), and stevia self-shows once it has
finished coming up - both land after the shell has spoken. Measured:
adopt+hide 07:37:51, Visible=true 07:37:52, leaving oskOpen=false with a
keyboard on the screen. Re-assert when the settle window closes so the
last speaker is not the winner.

And the oskSwap gesture never recorded that a swap means the user wants
a keyboard, so osk-switch's re-show and the shell's stale false were
racing with nothing to arbitrate them. Declare the intent first.

surfaces/quickshell/modules/ii/onScreenKeyboard/OnScreenKeyboard.qml

@@ -140,7 +140,23 @@ Scope {
     Timer {
         id: ownerSettleTimer
         interval: root.ownerSettleMs
-        onTriggered: root.ownerSettling = false
+        onTriggered: {
+            root.ownerSettling = false;
+            // Push once more on the way out. The first push (at adopt time)
+            // can lose a race: osk-switch sleeps 0.3s and then deliberately
+            // SetVisible(true), and a keyboard that self-shows on startup
+            // does so after it has finished coming up — both land *after* we
+            // spoke. Measured 2026-08-05: adopt+hide at 07:37:51, stevia
+            // Visible=true at 07:37:52, leaving oskOpen=false while a
+            // keyboard sat on the screen. Whoever spoke last during the
+            // settle window does not get to be the winner; intent does.
+            root.assertIntent();
+        }
+    }
+
+    function assertIntent(): void {
+        if (GlobalStates.oskOpen) root.showOsk();
+        else root.hideOsk();
     }
 
     function adoptOwner(owner: string): void {
@@ -157,9 +173,9 @@ Scope {
             + (previous === "" ? "" : " (was " + previous + ")")
             + "; re-asserting oskOpen=" + GlobalStates.oskOpen);
         // Push our intent, not theirs. A fresh keyboard claiming Visible=true
-        // when nobody asked for one gets closed here.
-        if (GlobalStates.oskOpen) root.showOsk();
-        else root.hideOsk();
+        // when nobody asked for one gets closed here — and again when the
+        // settle window closes, in case it spoke after we did.
+        root.assertIntent();
     }
 
     Connections {

surfaces/quickshell/services/Gestures.qml

@@ -80,6 +80,15 @@ Singleton {
         // feel the same as crossing the line.
         "oskSwap": () => {
             Haptics.confirm();
+            // Declare the intent before the swap, not after it. osk-switch
+            // deliberately re-shows the keyboard on the new daemon ("so the
+            // swap is visible immediately"), and OnScreenKeyboard re-asserts
+            // oskOpen at whoever takes the sm.puri.OSK0 name. If the shell
+            // did not record that a swap means "keyboard up", those two would
+            // fight: osk-switch shows it, the shell pushes its stale false,
+            // and which one the user gets is a race. A swap is a request for
+            // a keyboard.
+            GlobalStates.oskOpen = true;
             Quickshell.execDetached(["osk-switch"]);
         },
         "screenshot": () => {