feat: Enable OpenTelemetry support for Task Processor

[khvn26]

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• I have added information to docs/ if required so people know about the feature.
• I have filled in the "Changes" section below.
• I have filled in the "How did you test this code" section below.

Changes

Closes Flagsmith/flagsmith-common#184.

Incorporates task processor spans added in Flagsmith/flagsmith-common#197, and enables JSON logs for all SaaS deployments.

How did you test this code?

Will test in staging.

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3 Skipped Deployments

Project	Deployment	Actions	Updated (UTC)
docs	Ignored		Apr 14, 2026 8:02am
flagsmith-frontend-preview	Ignored		Apr 14, 2026 8:02am
flagsmith-frontend-staging	Ignored		Apr 14, 2026 8:02am

[github-actions]

Docker builds report

Image	Build Status	Security report
ghcr.io/flagsmith/flagsmith-e2e:pr-7225	Finished ✅	Skipped
ghcr.io/flagsmith/flagsmith-frontend:pr-7225	Finished ✅	Results ✅
ghcr.io/flagsmith/flagsmith-api-test:pr-7225	Finished ✅	Skipped
ghcr.io/flagsmith/flagsmith-api:pr-7225	Finished ✅	Results ✅
ghcr.io/flagsmith/flagsmith:pr-7225	Finished ✅	Results ✅
ghcr.io/flagsmith/flagsmith-private-cloud:pr-7225	Finished ✅	Results ✅

[Zaimwa9]

Lgtm

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 98.35%. Comparing base (c3c837a) to head (f78bed1).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #7225   +/-   ##
=======================================
  Coverage   98.35%   98.35%           
=======================================
  Files        1350     1350           
  Lines       50723    50723           
=======================================
  Hits        49891    49891           
  Misses        832      832           

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[github-actions]

Playwright Test Results (oss - depot-ubuntu-latest-16)

 11 passed

Details

 11 tests across 8 suites
 24.6 seconds
 f78bed1
 🔄 Run: #16014 (attempt 1)

Playwright Test Results (oss - depot-ubuntu-latest-arm-16)

 11 passed

Details

 11 tests across 8 suites
 49.3 seconds
 f78bed1
 🔄 Run: #16014 (attempt 1)

Playwright Test Results (private-cloud - depot-ubuntu-latest-16)

 17 passed

Details

 17 tests across 14 suites
 50.6 seconds
 f78bed1
 🔄 Run: #16014 (attempt 1)

Playwright Test Results (private-cloud - depot-ubuntu-latest-arm-16)

 2 passed

Details

 2 tests across 2 suites
 58.8 seconds
 f78bed1
 🔄 Run: #16014 (attempt 1)

[github-actions]

Visual Regression

16 screenshots compared. See report for details.
View full report