Update engineering productivity handbook references

Depends on https://gitlab.com/gitlab-com/www-gitlab-com/-/merge_requests/92669

.gitlab/issue_templates/Productivity Improvement.md

@@ -2,7 +2,7 @@
 
 <!--
 Please describe the engineering productivity problem that needs to be solved backed by charts from
-https://about.gitlab.com/handbook/engineering/quality/engineering-productivity-team/#engineering-productivity-team-metrics.
+https://about.gitlab.com/handbook/engineering/quality/engineering-productivity/#engineering-productivity-metrics.
 -->
 
 ### Problem identification checklist

.gitlab/merge_request_templates/Pipeline Configuration.md

@@ -33,6 +33,6 @@ This will help keep track of expected cost increases to the [GitLab project aver
 
 ### Post-merge
 
-- [ ] Consider communicating these changes to the broader team following the [communication guideline for pipeline changes](https://about.gitlab.com/handbook/engineering/quality/engineering-productivity-team/#pipeline-changes)
+- [ ] Consider communicating these changes to the broader team following the [communication guideline for pipeline changes](https://about.gitlab.com/handbook/engineering/quality/engineering-productivity/#pipeline-changes)
 
 /label ~tooling ~"tooling::pipelines" ~"Engineering Productivity"

danger/pipeline/Dangerfile

@@ -14,7 +14,7 @@ Please consider the effect of the changes in this merge request on the following
   - personal forks
 - Effects on [pipeline performance](https://about.gitlab.com/handbook/engineering/quality/performance-indicators/#average-merge-request-pipeline-duration-for-gitlab)
 
-Please consider communicating these changes to the broader team following the [communication guideline for pipeline changes](https://about.gitlab.com/handbook/engineering/quality/engineering-productivity-team/#pipeline-changes)
+Please consider communicating these changes to the broader team following the [communication guideline for pipeline changes](https://about.gitlab.com/handbook/engineering/quality/engineering-productivity/#pipeline-changes)
 MESSAGE
 
 if helper.has_ci_changes?

doc/development/index.md

@@ -122,7 +122,7 @@ In these cases, use the following workflow:
    - [User Experience (UX)](https://about.gitlab.com/handbook/engineering/ux/)
    - [Security](https://about.gitlab.com/handbook/engineering/security/)
    - [Quality](https://about.gitlab.com/handbook/engineering/quality/)
-     - [Engineering Productivity](https://about.gitlab.com/handbook/engineering/quality/engineering-productivity-team/)
+     - [Engineering Productivity](https://about.gitlab.com/handbook/engineering/quality/engineering-productivity/)
    - [Infrastructure](https://about.gitlab.com/handbook/engineering/infrastructure/)
    - [Technical Writing](https://about.gitlab.com/handbook/engineering/ux/technical-writing/)