[7.x] [Uptime] Feature/refactor context initialization (#54494)

[justinkambic]

• update refactor

• refactor context initilization

• rename values

• fix tests

Co-authored-by: Justin Kambic [email protected]

Summary

Backport #54494

Checklist

Use strikethroughs to remove checklist items you don't feel are applicable to this PR.

• This was checked for cross-browser compatibility, including a check against IE11
• Any text added follows EUI's writing guidelines, uses sentence case text and includes i18n support
• Documentation was added for features that require explanation or tutorials
• Unit or functional tests were updated or added to match the most common scenarios
• This was checked for keyboard-only and screenreader accessibility

For maintainers

• This was checked for breaking API changes and was labeled appropriately
• This includes a feature addition or change that requires a release note and was labeled appropriately

[elasticmachine]

Pinging @elastic/uptime (Team:uptime)

[kibanamachine]

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• Commit: 29396d8

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@elasticmachine merge upstream

[justinkambic]

Closed in favor of #54882