Fix starting http proxy with authentication

[EvgeneOskin]

Description of the change

Type of change

• Feature
• Codebase Improvements
• Critical security bugs
• Hotfix

Reviewer's checklist

• The code does not have any obvious logic errors.
• All cases specified in the requirements are fully implemented.
• There is sufficient automated testing for the new code. Existing automated tests were rewritten to account for code changes.
• The new code conforms to existing style guidelines.