infra: add a new specific task definition for the admin API to enable sentry tracing for admin requests

[matthewelwell]

Changes

The purpose of this PR is to enable sentry tracing on all requests to the newly separated Admin API service.

In order to do so, I have created a new task definition instead of reusing the one for the SDK API.

How did you test this code?

TODO

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3 Skipped Deployments

Project	Deployment	Review	Updated (UTC)
docs	Ignored		Jan 8, 2026 0:15am
flagsmith-frontend-preview	Ignored		Jan 8, 2026 0:15am
flagsmith-frontend-staging	Ignored		Jan 8, 2026 0:15am

[github-actions]

Docker builds report

Image	Build Status	Security report
ghcr.io/flagsmith/flagsmith-api-test:pr-6496	Finished ✅	Skipped
ghcr.io/flagsmith/flagsmith-e2e:pr-6496	Finished ✅	Skipped
ghcr.io/flagsmith/flagsmith-frontend:pr-6496	Finished ✅	Results ✅
ghcr.io/flagsmith/flagsmith-api:pr-6496	Finished ✅	Results ✅
ghcr.io/flagsmith/flagsmith:pr-6496	Finished ✅	Results ✅
ghcr.io/flagsmith/flagsmith-private-cloud:pr-6496	Finished ✅	Results ✅

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 98.08%. Comparing base (8cdb036) to head (0703307).

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #6496   +/-   ##
=======================================
  Coverage   98.08%   98.08%           
=======================================
  Files        1296     1296           
  Lines       46616    46616           
=======================================
  Hits        45724    45724           
  Misses        892      892           

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