fix(ci): Fix ECS deployment following attempted task definition separation

[matthewelwell]

Changes

This fixes the work started in this PR to use separate task definitions for the newly separated ECS services (admin API vs SDK).

Note: depends on: https://github.com/Flagsmith/pulumi/pull/160

How did you test this code?

TODO

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3 Skipped Deployments

Project	Deployment	Actions	Updated (UTC)
docs	Ignored		Feb 13, 2026 0:32am
flagsmith-frontend-preview	Ignored		Feb 13, 2026 0:32am
flagsmith-frontend-staging	Ignored		Feb 13, 2026 0:32am

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 98.23%. Comparing base (262e4f4) to head (221c1cb).

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #6719   +/-   ##
=======================================
  Coverage   98.23%   98.23%           
=======================================
  Files        1311     1311           
  Lines       48474    48474           
=======================================
  Hits        47617    47617           
  Misses        857      857           

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