feat(prover, coordinator): update vk handling logic

[0xmountaintop]

Purpose or design rationale of this PR

Describe your change. Make sure to answer these three questions: What does this PR do? Why does it do it? How does it do it?

PR title

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• 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]

Codecov Report

Merging #931 (46d5d7c) into develop (2b6a3c9) will not change coverage.
The diff coverage is n/a.

❗ Current head 46d5d7c differs from pull request most recent head 7f1d009. Consider uploading reports for the commit 7f1d009 to get more accurate results

@@           Coverage Diff            @@
##           develop     #931   +/-   ##
========================================
  Coverage    49.39%   49.39%           
========================================
  Files           95       95           
  Lines         9949     9949           
========================================
  Hits          4914     4914           
  Misses        4620     4620           
  Partials       415      415           

Flag	Coverage Δ
common	54.56% <ø> (ø)
coordinator	18.94% <ø> (ø)
database	42.85% <ø> (ø)
prover	27.32% <ø> (ø)
rollup	63.23% <ø> (ø)

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[github-actions]

LCOV of commit d74b4c6 during Contracts #18

Summary coverage rate:
  lines......: 51.2% (996 of 1946 lines)
  functions..: 65.2% (223 of 342 functions)
  branches...: no data found

Files changed coverage rate: n/a