Revert "Trigger layer version update in documentation (#704)"

This reverts commit 1f9a316.

Author: rithikanarayan

ci/input_files/build.yaml.tpl

@@ -206,22 +206,6 @@ publish-pypi-package:
   script:
     - ./ci/publish_pypi.sh
 
-update-layer-versions-docs:
-  stage: publish
-  trigger:
-    project: DataDog/serverless-ci
-  rules:
-    - if: '$CI_COMMIT_TAG =~ /^v.*/'
-  needs: {{ range $runtime := (ds "runtimes").runtimes }}
-    - publish-layer-prod ({{ $runtime.name }}-{{ $runtime.arch}})
-  {{- end }}
-    - publish-pypi-package
-  variables:
-    RUN_LAMBDA_LAYER_DOCUMENTATION: "true"
-    RUN_LAMBDA_DATADOG_CI: "true"
-    RUN_LAMBDA_UI_LAYER_VERSIONS: "true"
-    RUN_LAMBDA_RUNTIMES: "true"
-
 layer bundle:
   stage: build
   tags: ["arch:amd64"]