fix(backend): サーバーを始動する前に他のサービスが始動するように

[kakkokari-gtyih]

What

This prevents an edge case where the server begins processing inbound API / AP requests before any of the chart / management daemons are ready, potentially leading to incorrect chart statistics.

チャートエンジン・キュープロセッサが起動する前にサーバーがリクエストを受け付ける可能性がある問題を修正

Why

Additional info (optional)

Checklist

• Read the contribution guide
• Test working in a local environment
• (If needed) Add story of storybook
• (If needed) Update CHANGELOG.md
• (If possible) Add tests

[github-actions]

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[codecov]

Codecov Report

Attention: Patch coverage is 0% with 12 lines in your changes missing coverage. Please review.

Project coverage is 38.91%. Comparing base (e8bf628) to head (a736762).

Files with missing lines	Patch %	Lines
packages/backend/src/boot/common.ts	0.00%	9 Missing ⚠️
packages/backend/src/daemons/QueueStatsService.ts	0.00%	2 Missing ⚠️
packages/backend/src/daemons/ServerStatsService.ts	0.00%	1 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##           develop   #15103      +/-   ##
===========================================
- Coverage    39.96%   38.91%   -1.06%     
===========================================
  Files         1563     1563              
  Lines       197752   197753       +1     
  Branches      3634     3327     -307     
===========================================
- Hits         79031    76953    -2078     
- Misses      118116   120189    +2073     
- Partials       605      611       +6     

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