Change existing Product Intelligence group name to Analytics Instrumentation

Review app: https://stkerr-update-analytics-stage.about.gitlab-review.app/handbook/product/categories/

This changes the Product Intelligence group name to Analytics Instrumentation group. This was done to better reflect what the group is doing and responsible for now as where it will build in the future. Today this include Service Ping as well as Analytics Instrumentation SDKs. In the future, this will include the new unified tracking API. Analytics Instrumentation as a name better reflects these efforts.

The previous name was confusing since "Product Intelligence" meant many things to different people and is not an industry standard. The PI group was focused on gathering the data but many of the insights or "intelligence" came from processing and analyzing the data, which was being done by other teams.

Approvals

Merge requests with changes to stages and groups and significant changes to categories need to be created, approved, and/or merged by each of the below:

• Chief Product Officer @david
• The Product Director relevant to the affected Section(s) @justinfarris
• The Engineering Director relevant to the affected Section(s) @timzallmann
• Director of Product Design @vkarnes

The following people need to be on the merge request so they stay informed:

• Vice President of Development @clefelhocz1
• Vice President of Quality @meks
• Vice President of User Experience @clenneville
• The Product Marketing Manager relevant to the stage group(s)
• Director of Technical Writing @susantacker

After Approvals and Merge

• Create an issue in the triage-ops project to update GitLab Bot automation:
  • for Category change
  • for Stage or Group change
  • If label migration is required, please follow the self-serve instructions to get started on a one-off label migration MR.
• Mention the product group Technical Writer to update the documentation metadata
• Share MR in #product, #development, and relevant #s_, #g_, and #f_ slack channels