The simple search function is part of the core of JIRA and doesn't have any hooks for adding things to it. You'd need to amend the code of JIRA to change it, not just plug something in.
Atlassian provide the most commonly used fields and then provide all the other searchable fields under the "more" button, so I'm not sure what you'd want to add in there.
I have multiple projects that use variations of the same base workflow. The variations depend on the requirements of the project or issue type. The variations mostly come in the form of new statuses ...
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