refactor: derive NPM dependencies from implicit dependencies of e2e project #5100

Job	Run time
Audit	11s
Format check	42s
Linter	2m 20s
Unit tests (ubuntu-latest)	1m 9s
Unit tests (windows-latest)	2m 18s
Unit tests (macos-latest)	1m 6s
Build	2m 6s
Integration tests (ubuntu-latest)	1m 3s
E2E tests (ubuntu-latest)	5m 19s
Integration tests (windows-latest)	2m 2s
E2E tests (windows-latest)	9m 40s
Integration tests (macos-latest)	1m 3s
E2E tests (macos-latest)	4m 19s
	33m 18s

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