proxy: Use common error interface for error handling with cplane

[awarus]

• Remove obsolete error handles.
• Use one source of truth for cplane errors.

Problem

#18468

Summary of changes

Checklist before requesting a review

• [x] I have performed a self-review of my code.
• [ ] If it is a core feature, I have added thorough tests.
• [ ] Do we need to implement analytics? if so did you add the relevant metrics to the dashboard?
• [ ] If this PR requires public announcement, mark it with /release-notes label and add several sentences in this section.

Checklist before merging

• [ ] Do not forget to reformat commit message to not include the above checklist