refactor(coordinator): omit coordinator's error details to prover & add logs

[colinlyguo]

Purpose or design rationale of this PR

Mask db error details returned to provers.

PR title

Your PR title must follow conventional commits (as we are doing squash merge for each PR), so it must start with one of the following types:

• build: Changes that affect the build system or external dependencies (example scopes: yarn, eslint, typescript)
• ci: Changes to our CI configuration files and scripts (example scopes: vercel, github, cypress)
• docs: Documentation-only changes
• feat: A new feature
• fix: A bug fix
• perf: A code change that improves performance
• refactor: A code change that doesn't fix a bug, or add a feature, or improves performance
• style: Changes that do not affect the meaning of the code (white-space, formatting, missing semi-colons, etc)
• test: Adding missing tests or correcting existing tests

Deployment tag versioning

Has tag in common/version.go been updated?

• No, this PR doesn't involve a new deployment, git tag, docker image tag
• Yes

Breaking change label

Does this PR have the breaking-change label?

• No, this PR is not a breaking change
• Yes

[codecov]

Codecov Report

Merging #863 (4710b7e) into develop (c44b7f7) will not change coverage.
The diff coverage is n/a.

@@           Coverage Diff            @@
##           develop     #863   +/-   ##
========================================
  Coverage    51.19%   51.19%           
========================================
  Files           60       60           
  Lines         5577     5577           
========================================
  Hits          2855     2855           
  Misses        2483     2483           
  Partials       239      239           

Flag	Coverage Δ
common	55.43% <ø> (ø)
coordinator	19.15% <ø> (ø)
database	42.85% <ø> (ø)

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