[TSVB][AggBased] Carry filters/query when navigating from dashboard -> editor -> lens (#172566)

## Summary

Closes https://github.com/elastic/kibana/issues/170076


![tsvb](5da192c6-2de4-4e02-a1c0-fa2a8fc72d44)

This bug happens when navigating from dashboard to legacy editor to
lens. From legacy editor to Lens works as expected

### Checklist

- [ ] [Unit or functional
tests](https://www.elastic.co/guide/en/kibana/master/development-tests.html)
were updated or added to match the most common scenarios

src/plugins/visualizations/public/visualize_app/utils/get_top_nav_config.tsx

@@ -309,6 +309,8 @@ export const getTopNavConfig = (
                 vis,
                 data.query.timefilter.timefilter
               );
+              const searchFilters = data.query.filterManager.getAppFilters();
+              const searchQuery = data.query.queryString.getQuery();
               const updatedWithMeta = {
                 ...navigateToLensConfig,
                 embeddableId,
@@ -319,6 +321,8 @@ export const getTopNavConfig = (
                 description: visInstance?.panelDescription || vis.description,
                 panelTimeRange: visInstance?.panelTimeRange,
                 isEmbeddable: Boolean(originatingApp),
+                ...(searchFilters && { searchFilters }),
+                ...(searchQuery && { searchQuery }),
               };
               if (navigateToLensConfig) {
                 hideLensBadge();

x-pack/test/functional/apps/lens/open_in_lens/tsvb/dashboard.ts

@@ -9,14 +9,16 @@ import expect from '@kbn/expect';
 import { FtrProviderContext } from '../../../../ftr_provider_context';
 
 export default function ({ getPageObjects, getService }: FtrProviderContext) {
-  const { visualize, visualBuilder, lens, timeToVisualize, dashboard, canvas } = getPageObjects([
-    'visualBuilder',
-    'visualize',
-    'lens',
-    'timeToVisualize',
-    'dashboard',
-    'canvas',
-  ]);
+  const { visualize, visualBuilder, lens, timeToVisualize, dashboard, canvas, header } =
+    getPageObjects([
+      'visualBuilder',
+      'visualize',
+      'lens',
+      'timeToVisualize',
+      'dashboard',
+      'canvas',
+      'header',
+    ]);
   const dashboardCustomizePanel = getService('dashboardCustomizePanel');
   const dashboardBadgeActions = getService('dashboardBadgeActions');
   const dashboardPanelActions = getService('dashboardPanelActions');
@@ -24,6 +26,7 @@ export default function ({ getPageObjects, getService }: FtrProviderContext) {
   const retry = getService('retry');
   const panelActions = getService('dashboardPanelActions');
   const dashboardAddPanel = getService('dashboardAddPanel');
+  const filterBar = getService('filterBar');
 
   describe('Dashboard to TSVB to Lens', function describeIndexTests() {
     before(async () => {
@@ -32,8 +35,11 @@ export default function ({ getPageObjects, getService }: FtrProviderContext) {
 
     it('should convert a by value TSVB viz to a Lens viz', async () => {
       await visualBuilder.resetPage();
-      await testSubjects.click('visualizeSaveButton');
+      // adds filters
+      await filterBar.addFilter({ field: 'extension', operation: 'is', value: 'css' });
+      await header.waitUntilLoadingHasFinished();
 
+      await testSubjects.click('visualizeSaveButton');
       await timeToVisualize.saveFromModal('My TSVB to Lens viz 1', {
         addToDashboard: 'new',
         saveToLibrary: false,
@@ -58,6 +64,8 @@ export default function ({ getPageObjects, getService }: FtrProviderContext) {
         expect(await dimensions[1].getVisibleText()).to.be('Count of records');
       });
 
+      expect(await filterBar.hasFilter('extension', 'css')).to.be(true);
+
       await lens.replaceInDashboard();
       await retry.try(async () => {
         const embeddableCount = await canvas.getEmbeddableCount();