Remove code related to fixed bugs

Author: kanoshiou

x-pack/plugin/esql/qa/server/src/main/java/org/elasticsearch/xpack/esql/qa/rest/generative/EsqlQueryGenerator.java

@@ -225,8 +225,7 @@ private static String keep(List<Column> previousOutput) {
 
     private static String randomName(List<Column> previousOutput) {
         String result = randomRawName(previousOutput);
-        if (result.isEmpty() // bug https://github.com/elastic/elasticsearch/issues/125870, we'll manage it as an error later
-            || (randomBoolean() && result.contains("*") == false)) {
+        if ((randomBoolean() && result.contains("*") == false)) {
             result = "`" + result + "`";
         }
         return result;
@@ -311,12 +310,10 @@ private static String rename(List<Column> previousOutput) {
                 continue;
             }
             nameToType.put(newName, nameToType.get(name));
-            if (name.length() == 0 // https://github.com/elastic/elasticsearch/issues/125870, we'll manage it as an error later
-                || (randomBoolean() && name.startsWith("`") == false)) {
+            if (randomBoolean() && name.startsWith("`") == false) {
                 name = "`" + name + "`";
             }
-            if (newName.length() == 0 // https://github.com/elastic/elasticsearch/issues/125870, we'll manage it as an error later
-                || (randomBoolean() && newName.startsWith("`") == false)) {
+            if (randomBoolean() && newName.startsWith("`") == false) {
                 newName = "`" + newName + "`";
             }
             proj.add(name + " AS " + newName);

x-pack/plugin/esql/qa/server/src/main/java/org/elasticsearch/xpack/esql/qa/rest/generative/GenerativeRestTest.java

@@ -50,8 +50,6 @@ public abstract class GenerativeRestTest extends ESRestTestCase {
         // Awaiting fixes
         "Unknown column \\[<all-fields-projected>\\]", // https://github.com/elastic/elasticsearch/issues/121741,
         "Plan \\[ProjectExec\\[\\[<no-fields>.* optimized incorrectly due to missing references", // https://github.com/elastic/elasticsearch/issues/125866
-        "token recognition error at: ", // https://github.com/elastic/elasticsearch/issues/125870
-                                        // https://github.com/elastic/elasticsearch/issues/127167
         "optimized incorrectly due to missing references", // https://github.com/elastic/elasticsearch/issues/116781
         "No matches found for pattern", // https://github.com/elastic/elasticsearch/issues/126418
         "Unknown column", // https://github.com/elastic/elasticsearch/issues/127467