Update pipeline runner signature

[RLKRo]

Description

Remove default value for ctx_id;
Fix type annotations for ctx_id;
Convert ctx_id to string in websocket tutorial.

Checklist

• I have performed a self-review of the changes

To Consider

• Add tests (if functionality is changed)
• Update API reference / tutorials / guides
• Update CONTRIBUTING.md (if devel workflow is changed)
• Update .ignore files, scripts (such as lint), distribution manifest (if files are added/deleted)
• Search for references to changed entities in the codebase