[e2e] Checking Broker's config search - non-first page results
### Issue submitter TODO list

- [X] I've searched for an already existing issues [here](https://github.com/provectus/kafka-ui/issues)
- [X] I'm running a supported version of the application which is listed [here](https://github.com/provectus/kafka-ui/blob/master/SECURITY.md) and the feature is not present there

### Is your proposal related to a problem?

_No response_

### Describe the feature you're interested in

autotest implementation for
https://app.qase.io/project/KAFKAUI?case=350&suite=1&tab=

### Describe alternatives you've considered

_No response_

### Version you're running

master

### Additional context

_No response_
kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/BasePage.java kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/brokers/BrokersConfigTab.java
kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/BasePage.java kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/brokers/BrokersConfigTab.java
kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/manualsuite/backlog/SmokeBacklog.java kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/smokesuite/brokers/BrokersTest.java
diff --git a/kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/BasePage.java b/kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/BasePage.java
index d2e201191ab..8d0841b4407 100644
--- a/kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/BasePage.java
+++ b/kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/BasePage.java
@@ -28,6 +28,7 @@ public abstract class BasePage extends WebUtils {
   protected SelenideElement confirmBtn = $x("//button[contains(text(),'Confirm')]");
   protected SelenideElement cancelBtn = $x("//button[contains(text(),'Cancel')]");
   protected SelenideElement backBtn = $x("//button[contains(text(),'Back')]");
+  protected SelenideElement previousBtn = $x("//button[contains(text(),'Previous')]");
   protected SelenideElement nextBtn = $x("//button[contains(text(),'Next')]");
   protected ElementsCollection ddlOptions = $$x("//li[@value]");
   protected ElementsCollection gridItems = $$x("//tr[@class]");
@@ -75,6 +76,10 @@ protected void clickBackBtn() {
     clickByJavaScript(backBtn);
   }
 
+  protected void clickPreviousBtn() {
+    clickByJavaScript(previousBtn);
+  }
+
   protected void setJsonInputValue(SelenideElement jsonInput, String jsonConfig) {
     sendKeysByActions(jsonInput, jsonConfig.replace("  ", ""));
     new Actions(WebDriverRunner.getWebDriver())
diff --git a/kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/brokers/BrokersConfigTab.java b/kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/brokers/BrokersConfigTab.java
index cf0dce73218..a9e146002ec 100644
--- a/kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/brokers/BrokersConfigTab.java
+++ b/kafka-ui-e2e-checks/src/main/java/com/provectus/kafka/ui/pages/brokers/BrokersConfigTab.java
@@ -66,6 +66,13 @@ public BrokersConfigTab clickNextButton() {
     return this;
   }
 
+  @Step
+  public BrokersConfigTab clickPreviousButton() {
+    clickPreviousBtn();
+    waitUntilSpinnerDisappear(1);
+    return this;
+  }
+
   private List<BrokersConfigTab.BrokersConfigItem> initGridItems() {
     List<BrokersConfigTab.BrokersConfigItem> gridItemList = new ArrayList<>();
     gridItems.shouldHave(CollectionCondition.sizeGreaterThan(0))

diff --git a/kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/manualsuite/backlog/SmokeBacklog.java b/kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/manualsuite/backlog/SmokeBacklog.java
index c52db3c1b3c..f4cacc25207 100644
--- a/kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/manualsuite/backlog/SmokeBacklog.java
+++ b/kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/manualsuite/backlog/SmokeBacklog.java
@@ -64,24 +64,17 @@ public void testCaseF() {
   public void testCaseG() {
   }
 
-  @Automation(state = TO_BE_AUTOMATED)
-  @Suite(id = BROKERS_SUITE_ID)
-  @QaseId(350)
-  @Test
-  public void testCaseH() {
-  }
-
   @Automation(state = NOT_AUTOMATED)
   @Suite(id = TOPICS_SUITE_ID)
   @QaseId(50)
   @Test
-  public void testCaseI() {
+  public void testCaseH() {
   }
 
   @Automation(state = NOT_AUTOMATED)
   @Suite(id = SCHEMAS_SUITE_ID)
   @QaseId(351)
   @Test
-  public void testCaseJ() {
+  public void testCaseI() {
   }
 }
diff --git a/kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/smokesuite/brokers/BrokersTest.java b/kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/smokesuite/brokers/BrokersTest.java
index e4a4f9f90c9..663018cbc3b 100644
--- a/kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/smokesuite/brokers/BrokersTest.java
+++ b/kafka-ui-e2e-checks/src/test/java/com/provectus/kafka/ui/smokesuite/brokers/BrokersTest.java
@@ -50,11 +50,11 @@ public void checkExistingBrokersInCluster() {
   @Issue("https://github.com/provectus/kafka-ui/issues/3347")
   @QaseId(330)
   @Test
-  public void brokersConfigSearchCheck() {
+  public void brokersConfigFirstPageSearchCheck() {
     navigateToBrokersAndOpenDetails(DEFAULT_BROKER_ID);
     brokersDetails
         .openDetailsTab(CONFIGS);
-    String anyConfigKey = brokersConfigTab
+    String anyConfigKeyFirstPage = brokersConfigTab
         .getAllConfigs().stream()
         .findAny().orElseThrow()
         .getKey();
@@ -62,14 +62,42 @@ public void brokersConfigSearchCheck() {
         .clickNextButton();
     Assert.assertFalse(brokersConfigTab.getAllConfigs().stream()
             .map(BrokersConfigTab.BrokersConfigItem::getKey)
-            .toList().contains(anyConfigKey),
-        String.format("getAllConfigs().contains(%s)", anyConfigKey));
+            .toList().contains(anyConfigKeyFirstPage),
+        String.format("getAllConfigs().contains(%s)", anyConfigKeyFirstPage));
     brokersConfigTab
-        .searchConfig(anyConfigKey);
+        .searchConfig(anyConfigKeyFirstPage);
     Assert.assertTrue(brokersConfigTab.getAllConfigs().stream()
             .map(BrokersConfigTab.BrokersConfigItem::getKey)
-            .toList().contains(anyConfigKey),
-        String.format("getAllConfigs().contains(%s)", anyConfigKey));
+            .toList().contains(anyConfigKeyFirstPage),
+        String.format("getAllConfigs().contains(%s)", anyConfigKeyFirstPage));
+  }
+
+  @Ignore
+  @Issue("https://github.com/provectus/kafka-ui/issues/3347")
+  @QaseId(350)
+  @Test
+  public void brokersConfigSecondPageSearchCheck() {
+    navigateToBrokersAndOpenDetails(DEFAULT_BROKER_ID);
+    brokersDetails
+        .openDetailsTab(CONFIGS);
+    brokersConfigTab
+        .clickNextButton();
+    String anyConfigKeySecondPage = brokersConfigTab
+        .getAllConfigs().stream()
+        .findAny().orElseThrow()
+        .getKey();
+    brokersConfigTab
+        .clickPreviousButton();
+    Assert.assertFalse(brokersConfigTab.getAllConfigs().stream()
+            .map(BrokersConfigTab.BrokersConfigItem::getKey)
+            .toList().contains(anyConfigKeySecondPage),
+        String.format("getAllConfigs().contains(%s)", anyConfigKeySecondPage));
+    brokersConfigTab
+        .searchConfig(anyConfigKeySecondPage);
+    Assert.assertTrue(brokersConfigTab.getAllConfigs().stream()
+            .map(BrokersConfigTab.BrokersConfigItem::getKey)
+            .toList().contains(anyConfigKeySecondPage),
+        String.format("getAllConfigs().contains(%s)", anyConfigKeySecondPage));
   }
 
   @QaseId(331)
