refactor context

[kpango]

Description:

Refactor context canceling for more quick escape from processing

Related Issue:

Versions:

• Go Version: 1.20.5
• Docker Version: 20.10.8
• Kubernetes Version: v1.27.3
• NGT Version: 2.0.13

Checklist:

• I have read the CONTRIBUTING document and completed our CLA agreement.
• I have checked open Pull Requests for the similar feature or fixes?

Special notes for your reviewer:

[vdaas-ci]

[CHATOPS:HELP] ChatOps commands.

• 🙆‍♀️ /approve - approve
• 💌 /changelog - replace the PR body by changelog details
• 🍱 /format - format codes and add licenses
• ✅ /gen-test - generate test codes
• 🏷️ /label - add labels
• ⏪ /rebase - rebase main
• 🔚 2️⃣ 🔚 /label actions/e2e-deploy - run E2E deploy & integration test

[cloudflare-workers-and-pages]

Deploying with    Cloudflare Pages

Latest commit:	afae3dd
Status:	✅  Deploy successful!
Preview URL:	https://fb87029d.vald.pages.dev
Branch Preview URL:	https://refactor-lb-gateway-add-cont.vald.pages.dev

View logs

[codecov]

Codecov Report

Patch coverage: 55.17% and project coverage change: +17.20 🎉

Comparison is base (e52eb4a) 31.13% compared to head (4f88c5a) 48.34%.

❗ Current head 4f88c5a differs from pull request most recent head afae3dd. Consider uploading reports for the commit afae3dd to get more accurate results

Additional details and impacted files

@@             Coverage Diff             @@
##             main    #2121       +/-   ##
===========================================
+ Coverage   31.13%   48.34%   +17.20%     
===========================================
  Files         339      173      -166     
  Lines       32791     9042    -23749     
===========================================
- Hits        10211     4371     -5840     
+ Misses      22131     4545    -17586     
+ Partials      449      126      -323     

Impacted Files	Coverage Δ
internal/errgroup/group.go	83.76% <55.17%> (-11.19%)	⬇️

... and 170 files with indirect coverage changes

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