Fix UT failure and Linkchecker failure (#4809)

Author: LantaoJin

docs/dev/intro-v3-architecture.md

@@ -98,7 +98,7 @@ In Linkedin, they created a internal Calcite repo to convert Pig Latin scripts i
 - Have an optimizer rule to optimize Pig group/cogroup into Aggregate operators
 - Implement other RelNode in Rel2Sql so that Pig Latin can be translated into SQL
 
-This [work](https://issues.apache.org/jira/browse/CALCITE-3122) had contributed to Apache Calcite and named [Piglet](https://calcite.apache.org/javadocAggregate/org/apache/calcite/piglet/package-summary.html). It allows users to write queries in Pig Latin, and execute them using any applicable Calcite adapter.
+This work had contributed to Apache Calcite \(CALCITE-3122\) and named [Piglet](https://calcite.apache.org/javadocAggregate/org/apache/calcite/piglet/package-summary.html). It allows users to write queries in Pig Latin, and execute them using any applicable Calcite adapter.
 
 Pig Latin leverage `RelBuilder` to implement as a third-part front-end language (dialect).
 

ppl/src/test/java/org/opensearch/sql/ppl/calcite/CalcitePPLArrayFunctionTest.java

@@ -127,7 +127,7 @@ public void testMvindexSingleElementPositive() {
     verifyResult(root, expectedResult);
 
     String expectedSparkSql =
-        "SELECT `array`('a', 'b', 'c')[1 + 1] `result`\n" + "FROM `scott`.`EMP`\n" + "LIMIT 1";
+        "SELECT ARRAY('a', 'b', 'c')[1 + 1] `result`\n" + "FROM `scott`.`EMP`\n" + "LIMIT 1";
     verifyPPLToSparkSQL(root, expectedSparkSql);
   }
 
@@ -152,7 +152,7 @@ public void testMvindexSingleElementNegative() {
     verifyResult(root, expectedResult);
 
     String expectedSparkSql =
-        "SELECT `array`('a', 'b', 'c')[ARRAY_LENGTH(`array`('a', 'b', 'c')) + -1 + 1]"
+        "SELECT ARRAY('a', 'b', 'c')[ARRAY_LENGTH(ARRAY('a', 'b', 'c')) + -1 + 1]"
             + " `result`\n"
             + "FROM `scott`.`EMP`\n"
             + "LIMIT 1";
@@ -179,7 +179,7 @@ public void testMvindexRangePositive() {
     verifyResult(root, expectedResult);
 
     String expectedSparkSql =
-        "SELECT ARRAY_SLICE(`array`(1, 2, 3, 4, 5), 1, 3 - 1 + 1) `result`\n"
+        "SELECT ARRAY_SLICE(ARRAY(1, 2, 3, 4, 5), 1, 3 - 1 + 1) `result`\n"
             + "FROM `scott`.`EMP`\n"
             + "LIMIT 1";
     verifyPPLToSparkSQL(root, expectedSparkSql);
@@ -207,8 +207,8 @@ public void testMvindexRangeNegative() {
     verifyResult(root, expectedResult);
 
     String expectedSparkSql =
-        "SELECT ARRAY_SLICE(`array`(1, 2, 3, 4, 5), ARRAY_LENGTH(`array`(1, 2, 3, 4, 5)) + -3,"
-            + " ARRAY_LENGTH(`array`(1, 2, 3, 4, 5)) + -1 - (ARRAY_LENGTH(`array`(1, 2, 3, 4, 5))"
+        "SELECT ARRAY_SLICE(ARRAY(1, 2, 3, 4, 5), ARRAY_LENGTH(ARRAY(1, 2, 3, 4, 5)) + -3,"
+            + " ARRAY_LENGTH(ARRAY(1, 2, 3, 4, 5)) + -1 - (ARRAY_LENGTH(ARRAY(1, 2, 3, 4, 5))"
             + " + -3) + 1) `result`\n"
             + "FROM `scott`.`EMP`\n"
             + "LIMIT 1";