fix: add missing push triggers to TUI prod-variations config (#454)

fix: add missing push triggers to TUI config

Several release branches were missing push trigger configuration in
prod-variations.yml, causing test-controller jobs to fail with 404
on push events (merges, cherry-picks).

API section - added push triggers for:
- release-5.6
- release-5.12
- release-5.12.1
- release-5.13

UI section - added missing branch entries for:
- release-5.12 (was completely absent)
- release-5.13 (was completely absent)

Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

Author: buger

config/tui/prod-variations.yml

@@ -152,12 +152,16 @@ level: # testsuites
             level: # testsuite
               tyk:
               tyk-analytics:
-      release-5.6:   
+      release-5.6:
         level: # trigger
           pull_request:
             level: # testsuite
               tyk:
               tyk-analytics:
+          push:
+            level: # testsuite
+              tyk:
+              tyk-analytics:
       release-5.8:   
         level: # trigger
           pull_request:
@@ -190,7 +194,7 @@ level: # testsuites
             level: # testsuite
               tyk:
               tyk-analytics:
-      release-5.12:   
+      release-5.12:
         level: # trigger
           pull_request:
             level: # testsuite
@@ -202,7 +206,11 @@ level: # testsuites
                     db: "mongo8"
                     apimarkers: "not local and not dind"
                     sink: "$ECR/tyk-sink:master"
-      release-5.12.1:   
+          push:
+            level: # testsuite
+              tyk:
+              tyk-analytics:
+      release-5.12.1:
         level: # trigger
           pull_request:
             level: # testsuite
@@ -214,7 +222,11 @@ level: # testsuites
                     db: "mongo8"
                     apimarkers: "not local and not dind"
                     sink: "$ECR/tyk-sink:master"
-      release-5.13:   
+          push:
+            level: # testsuite
+              tyk:
+              tyk-analytics:
+      release-5.13:
         level: # trigger
           pull_request:
             level: # testsuite
@@ -226,6 +238,10 @@ level: # testsuites
                     db: "mongo8"
                     apimarkers: "not local and not dind"
                     sink: "$ECR/tyk-sink:master"
+          push:
+            level: # testsuite
+              tyk:
+              tyk-analytics:
       release-6.0:   
         level: # trigger
           pull_request:
@@ -338,7 +354,23 @@ level: # testsuites
           push:
             level: # testsuite
               tyk-analytics:
-      release-5.12.1:    
+      release-5.12:
+        level: # trigger
+          pull_request:
+            level: # testsuite
+              tyk-analytics:
+          push:
+            level: # testsuite
+              tyk-analytics:
+      release-5.12.1:
+        level: # trigger
+          pull_request:
+            level: # testsuite
+              tyk-analytics:
+          push:
+            level: # testsuite
+              tyk-analytics:
+      release-5.13:
         level: # trigger
           pull_request:
             level: # testsuite