Proxy process updated errors

[khanova]

Problem

Respect errors classification from cplane

Summary of changes

Checklist before requesting a review

• I have performed a self-review of my code.
• If it is a core feature, I have added thorough tests.
• Do we need to implement analytics? if so did you add the relevant metrics to the dashboard?
• If this PR requires public announcement, mark it with /release-notes label and add several sentences in this section.

Checklist before merging

• Do not forget to reformat commit message to not include the above checklist

[github-actions]

3240 tests run: 3098 passed, 0 failed, 142 skipped (full report)

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Flaky tests (6)

Postgres 15

• test_storage_controller_smoke: debug

Postgres 14

• test_pageserver_restarts_under_worload: release
• test_secondary_background_downloads: release
• test_slow_secondary_downloads[False]: release
• test_subscriber_restart: release
• test_wal_restore: release

Code coverage* (full report)

• functions: 31.5% (6634 of 21054 functions)
• lines: 48.5% (51522 of 106149 lines)

* collected from Rust tests only

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_{The comment gets automatically updated with the latest test results
928404e at 2024-06-13T12:22:58.073Z :recycle:}

[conradludgate]

looks good