[APM] Integrate Alert Search bar in alert tab (elastic#149610)

## Summary

Closes: elastic#146290

- Integrate Alert search bar
- Delete alerts status filters as it comes for free with the search bar
- Respect time range when fetching alert counts on service inventory and
service overview page
- as the search bar now supports time ranges, it's required to display
consistent data.

### Before 


![image](https://user-images.githubusercontent.com/3369346/214894397-6850274f-f701-481a-a12c-688c144f4c32.png)



### After


https://user-images.githubusercontent.com/3369346/214894788-5fcd42e2-b48f-434f-b38d-18579bfc280e.mov


TODO
- [x]
[getServiceAlerts](https://github.com/elastic/kibana/pull/149610/files#diff-82ef341af674bd7f203551b4d75b73d221a49e6ae4169e0c396e96abb04902bcR59-R67
) query doesn't include environment while the table respects that
filter. Check what's the correct way.

---------

Co-authored-by: kibanamachine <[email protected]>

x-pack/plugins/apm/common/environment_filter_values.ts

@@ -6,6 +6,7 @@
  */
 
 import { i18n } from '@kbn/i18n';
+import { escapeKuery } from '@kbn/es-query';
 import { SERVICE_ENVIRONMENT } from './es_fields/apm';
 import { Environment } from './environment_rt';
 
@@ -43,18 +44,30 @@ export const ENVIRONMENT_NOT_DEFINED = {
   label: getEnvironmentLabel(ENVIRONMENT_NOT_DEFINED_VALUE),
 };
 
-export function getEnvironmentEsField(environment: string) {
-  if (
+function isEnvironmentDefined(environment: string) {
+  return (
     !environment ||
     environment === ENVIRONMENT_NOT_DEFINED_VALUE ||
     environment === ENVIRONMENT_ALL_VALUE
-  ) {
+  );
+}
+
+export function getEnvironmentEsField(environment: string) {
+  if (isEnvironmentDefined(environment)) {
     return {};
   }
 
   return { [SERVICE_ENVIRONMENT]: environment };
 }
 
+export function getEnvironmentKuery(environment: string) {
+  if (isEnvironmentDefined(environment)) {
+    return null;
+  }
+
+  return `${[SERVICE_ENVIRONMENT]}: ${escapeKuery(environment)} `;
+}
+
 // returns the environment url param that should be used
 // based on the requested environment. If the requested
 // environment is different from the URL parameter, we'll

x-pack/plugins/apm/ftr_e2e/cypress/e2e/read_only_user/service_overview/alerts_table.cy.ts

@@ -0,0 +1,46 @@
+/*
+ * Copyright Elasticsearch B.V. and/or licensed to Elasticsearch B.V. under one
+ * or more contributor license agreements. Licensed under the Elastic License
+ * 2.0; you may not use this file except in compliance with the Elastic License
+ * 2.0.
+ */
+
+import url from 'url';
+import { synthtrace } from '../../../../synthtrace';
+import { opbeans } from '../../../fixtures/synthtrace/opbeans';
+
+const start = '2021-10-10T00:00:00.000Z';
+const end = '2021-10-10T00:15:00.000Z';
+
+const serviceOverviewHref = url.format({
+  pathname: '/app/apm/services/opbeans-java/alerts',
+  query: { rangeFrom: start, rangeTo: end },
+});
+
+describe('Errors table', () => {
+  before(() => {
+    synthtrace.index(
+      opbeans({
+        from: new Date(start).getTime(),
+        to: new Date(end).getTime(),
+      })
+    );
+  });
+
+  after(() => {
+    synthtrace.clean();
+  });
+
+  beforeEach(() => {
+    cy.loginAsViewerUser();
+  });
+
+  it('Alerts table with the search bar is populated', () => {
+    cy.visitKibana(serviceOverviewHref);
+    cy.contains('opbeans-java');
+    cy.contains('All');
+    cy.contains('Active');
+    cy.contains('Recovered');
+    cy.getByTestSubj('globalQueryBar').should('exist');
+  });
+});