Change "specific" runner to "project" in specs

What does this MR do and why?

Part of #387378 (closed)

This change renames old occurrences of "specific" when referring to runners, to update them to "project" in QA and other spec files.

Screenshots or screen recordings

NA

How to set up and validate locally

NA, changes are verified by the pipeline.

MR acceptance checklist

This checklist encourages us to confirm any changes have been analyzed to reduce risks in quality, performance, reliability, security, and maintainability.

• I have evaluated the MR acceptance checklist for this MR.

Related to #387378 (closed)