test(web): drive hover @ref in the provider-backed web scenario

The integration-progress gate requires every public command to be referenced
by a provider-backed scenario. Add hover @ref to the web desktop flow: it
must reach the provider's hoverRef handle (never a coordinate) and be
recorded on the session without fabricated x/y, like click @ref.

Author: thymikee

test/integration/provider-scenarios/web-desktop.test.ts

@@ -82,6 +82,27 @@ test('Provider-backed integration web desktop flow uses semantic web provider ca
           positionals: ['text', 'Ready', '100'],
           expectData: { text: 'Ready' },
         },
+        {
+          // #1783: hover @ref on web rides the provider element handle
+          // (hoverRef), never a coordinate — web ref frames carry no rects.
+          name: 'hover submit ref',
+          command: 'hover',
+          positionals: ['@e4'],
+          expectData: { ref: 'e4', gesture: 'hover' },
+          assert: (response) => {
+            const data = response.json?.result?.data;
+            assert.equal(data?.x, undefined);
+            assert.equal(data?.y, undefined);
+            assert.equal(data?.message, 'Hovered @e4');
+          },
+        },
+        {
+          // ADR 0014: the ref hover above expired the frame; re-observe
+          // before the next ref mutation.
+          name: 're-observe before the ref click',
+          command: 'snapshot',
+          flags: { snapshotInteractiveOnly: true },
+        },
         {
           name: 'click submit ref',
           command: 'click',
@@ -149,6 +170,16 @@ test('Provider-backed integration web desktop flow uses semantic web provider ca
       ]);
 
       const actions = daemon.session()?.actions ?? [];
+      assert.ok(
+        actions.some(
+          (action) =>
+            action.command === 'hover' &&
+            action.positionals.join(' ') === '@e4' &&
+            action.result?.x === undefined &&
+            action.result?.y === undefined,
+        ),
+        'Expected ref hover action to be recorded on the session without fabricated coordinates',
+      );
       assert.ok(
         actions.some(
           (action) =>
@@ -183,6 +214,7 @@ test('Provider-backed integration web desktop flow uses semantic web provider ca
       assertFlatToolCall(semanticCalls, ['web', 'open', WEB_URL, '']);
       assertFlatToolCall(semanticCalls, ['web', 'recordStart', recordingPath]);
       assertFlatToolCall(semanticCalls, ['web', 'snapshot', 'true', '']);
+      assertFlatToolCall(semanticCalls, ['web', 'hoverRef', '@e4']);
       assertFlatToolCall(semanticCalls, ['web', 'clickRef', '@e4']);
       assertFlatToolCall(semanticCalls, ['web', 'fillRef', '@e3', 'qa@example.test', '1']);
       assertFlatToolCall(semanticCalls, ['web', 'type', ' ok', '0']);

test/integration/provider-scenarios/web-world.ts

@@ -83,6 +83,12 @@ export async function createWebDesktopWorld(): Promise<WebDesktopWorld> {
         state.statusText = 'Submitted';
       }
     },
+    hover: async (x, y) => {
+      semanticCalls.push(['web', 'hover', String(x), String(y)]);
+    },
+    hoverRef: async (ref) => {
+      semanticCalls.push(['web', 'hoverRef', ref]);
+    },
     fill: async (x, y, text, options) => {
       semanticCalls.push([
         'web',