fix(coordinator): recover prover_task when the related object is verified.

[amoylan2]

Purpose or design rationale of this PR

recover prover_task when the related object is verified.

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 or have you added bump-version label to this PR?

• 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-commenter]

Codecov Report

Attention: Patch coverage is 0% with 4 lines in your changes missing coverage. Please review.

Project coverage is 53.27%. Comparing base (0fd7a87) to head (590b930).

Files	Patch %	Lines
common/types/db.go	0.00%	4 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##           develop    #1466      +/-   ##
===========================================
- Coverage    53.29%   53.27%   -0.02%     
===========================================
  Files          155      155              
  Lines        11770    11774       +4     
===========================================
  Hits          6273     6273              
- Misses        5002     5006       +4     
  Partials       495      495              

Flag	Coverage Δ
common	49.67% <0.00%> (-0.22%)	⬇️
coordinator	19.93% <ø> (ø)
database	42.85% <ø> (ø)
rollup	56.71% <ø> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.