Error logging should be more detailed

Issue Description

Missing Error Details: The logged error message only includes ${err}, which might not provide sufficient information for debugging. We can Consider logging more specific details about the error, such as the error type, stack trace, and relevant variables.
Eg
logger.error(Error while deleting role: ${error});
https://github.com/Real-Dev-Squad/website-backend/pull/1848/#discussion_r1459938205

This need more discussion

Expected Behavior

Current Behavior

Screenshots

Reproducibility

• This issue is reproducible
• This issue is not reproducible

Steps to Reproduce

Severity/Priority

• Critical
• High
• Medium
• Low

Additional Information

Checklist

• I have read and followed the project's code of conduct.
• I have searched for similar issues before creating this one.
• I have provided all the necessary information to understand and reproduce the issue.
• I am willing to contribute to the resolution of this issue.

Start by reviewing the discussion linked from pull request 1848 and identify the agreed scope for more detailed error logging. Then locate the affected deletion logging path in the backend and define done as logging the agreed error details without exposing inappropriate information; the issue names no file or test to run.