refactor(compaction): RequestContext shouldn't be Clone, only RequestContextAdaptor uses it

[problame]

Extracted from #6953

Part of #5899

[github-actions]

2448 tests run: 2325 passed, 0 failed, 123 skipped (full report)

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Flaky tests (3)

Postgres 16

• test_crafted_wal_end[last_wal_record_crossing_segment]: debug

Postgres 15

• test_ancestor_branch: debug
• test_ts_of_lsn_api: release

Code coverage* (full report)

• functions: 28.6% (6887 of 24064 functions)
• lines: 47.1% (42121 of 89457 lines)

* collected from Rust tests only

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_{The comment gets automatically updated with the latest test results
f706d90 at 2024-02-29T19:51:56.357Z :recycle:}