[#23770] YSQL: Stabalize TestPgExplainAnalyze#testExplainAnalyzeOptio…

…ns the test with ysql connection manager

Summary:
This diff makes `org.yb.pgsql.TestPgExplainAnalyze#testExplainAnalyzeOptions` test to run in round robin mode when ran with ysql connection manager as the test expects caching of results on the backend on running the query, therefore with round random mode we can deterministically populate the cache on each backend and run the test with ysql conn mgr.
Jira: DB-12674

Test Plan:
Jenkins: enable connection manager, test regex: .*ExplainAnalyze.*

Ensure below test is working:
`./yb_build.sh --enable-ysql-conn-mgr-test --java-test org.yb.pgsql.TestPgExplainAnalyze#testExplainAnalyzeOptions`

Reviewers: skumar, rbarigidad

Reviewed By: rbarigidad

Differential Revision: https://phorge.dev.yugabyte.com/D37891

java/yb-pgsql/src/test/java/org/yb/pgsql/TestPgExplainAnalyze.java

@@ -753,6 +753,12 @@ public void testDeleteReturning() throws Exception {
 
   @Test
   public void testExplainAnalyzeOptions() throws Exception {
+    if (isTestRunningWithConnectionManager()) {
+        // (DB-12674) Allow tests to run in round-robin allocation mode when
+        // using a pool of warmed up connections to allow for deterministic results.
+        setConnMgrWarmupModeAndRestartCluster(ConnectionManagerWarmupMode.ROUND_ROBIN);
+        setUp();
+    }
     String query = String.format("SELECT * FROM %s", TABLE_NAME);
     try (Statement stmt = connection.createStatement()) {
         setHideNonDeterministicFields(stmt, true);