Rename Product Intelligence Review to Analytics Instrumentation Review

What does this MR do and why?

The "Product Intelligence" group was recently renamed to "Analytics Instrumentation". "Product Intelligence / Analytics Instrumentation" has it's own review process for anything that touches its tooling. This MR tries to rename the review process and use new label names. gitlab-com/www-gitlab-com!123985 (merged) has to be merged beforehand to add the correct reviewer information to the teammates.

If this MR is merged we still have to:

• Rename the product intelligenceapproved and product intelligencereview pending labels
• Remove the old reviewer product_intelligence from the teammembers yml in https://gitlab.com/gitlab-com/www-gitlab-com

The MR tries to restrict itself to update only the docs that directly reference the Product Intelligence review process, further renamings in the docs will be covered by #409681 (closed).

Resolves #408799 (closed)

How to set up and validate locally

Not possible (to my knowledge)

MR acceptance checklist

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