Helm e2e tests fail on installing chart dependencies.

[marcofranssen]

Did an attempt to fix it but seems the recent refactor has some gaps.

https://github.com/fluent/fluent-operator/actions/runs/19875257124/job/56960979199?pr=1791#step:7:195

@joshuabaird could you pitch in and have a look on fixing that part?

Originally posted by @marcofranssen in #1791 (comment)