Fix Generic Tool Call Labels and Generalize AdapterPublic

AI Summary

The user wanted to understand why all tool calls in a specific trace were shown generically as "Run Command" instead of detailed names. The investigation revealed that the raw data recorded only generic command calls, and the frontend expected a different field name for command details, causing loss of specific tool information. The user then requested a fix with backward-compatible tests, and later explored how to generalize the adapter to handle evolving tool call types without frequent client updates.