fix(ci): E2E builds Docker images unneccessarily on publish

[khvn26]

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Changes

As seen here, the E2E job starts building a Core API Docker image because it fails to pull the already built private cloud image.

The fix is to pass required tokens explicitly so the job is properly authorised to pull the already built image.

How did you test this code?

This is a CI change.

[vercel]

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3 Skipped Deployments

Name	Status	Preview	Comments	Updated (UTC)
docs	⬜️ Ignored (Inspect)			Mar 11, 2025 0:26am
flagsmith-frontend-preview	⬜️ Ignored (Inspect)			Mar 11, 2025 0:26am
flagsmith-frontend-staging	⬜️ Ignored (Inspect)			Mar 11, 2025 0:26am

[github-actions]

Docker builds report

Image	Build Status	Security report
ghcr.io/flagsmith/flagsmith-e2e:pr-5212	Finished ✅	Skipped
ghcr.io/flagsmith/flagsmith-api-test:pr-5212	Finished ✅	Skipped
ghcr.io/flagsmith/flagsmith-api:pr-5212	Finished ✅	Results ✅
ghcr.io/flagsmith/flagsmith-frontend:pr-5212	Finished ✅	Results ✅
ghcr.io/flagsmith/flagsmith:pr-5212	Finished ✅	Results ✅
ghcr.io/flagsmith/flagsmith-private-cloud:pr-5212	Finished ✅	Results ✅

[github-actions]

Uffizzi Preview deployment-61772 was deleted.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 97.50%. Comparing base (0fed1d6) to head (a188661).
Report is 7 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #5212   +/-   ##
=======================================
  Coverage   97.50%   97.50%           
=======================================
  Files        1224     1224           
  Lines       42623    42623           
=======================================
  Hits        41558    41558           
  Misses       1065     1065           

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