refactor(meta): reorganize code of global barrier manager (part 1)

[wenym1]

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What's changed and what's your intention?

Reorganize the code of global barrier worker.

In this PR, code are simply moved in one place to another without modifying the logic.

Some visibility is changed to pass the compile.

In later PR, we will further hide some fields to provide better encapsulation.

Checklist

• I have written necessary rustdoc comments
• I have added necessary unit tests and integration tests
• I have added test labels as necessary. See details.
• I have added fuzzing tests or opened an issue to track them. (Optional, recommended for new SQL features Sqlsmith: Sql feature generation #7934).
• My PR contains breaking changes. (If it deprecates some features, please create a tracking issue to remove them in the future).
• All checks passed in ./risedev check (or alias, ./risedev c)
• My PR changes performance-critical code. (Please run macro/micro-benchmarks and show the results.)

• My PR contains critical fixes that are necessary to be merged into the latest release. (Please check out the details)

Documentation

• My PR needs documentation updates. (Please use the Release note section below to summarize the impact on users)

Release note

If this PR includes changes that directly affect users or other significant modifications relevant to the community, kindly draft a release note to provide a concise summary of these changes. Please prioritize highlighting the impact these changes will have on users.

[github-actions]

license-eye has totally checked 5420 files.

Valid	Invalid	Ignored	Fixed
2304	1	3115	0

Click to see the invalid file list

• src/meta/src/barrier/context/context_impl.rs

[yezizp2012]

robber stamp