Issue to track work to update tools to flow first-run state down to sub-tools via ENV variables.

This includes work in package:unified_analytics

• [unified analytics] add utilities to compute analytics ENV vars #2343

and updates to ecosystem clients/tools:

• [analytics] Update the Dart Plugin to set analytics ENV variables when invoking sub-tools flutter/dart-intellij-third-party#281
• [analytics] Update the Flutter Plugin to set analytics ENV variables when invoking sub-tools flutter/flutter-intellij#8850
• [analytics] Update Dart Code to set analytics ENV variables when invoking sub-tools
  • Pass a more specific product name to the analysis server Dart-Code/Dart-Code#5561
    • Set environment variables detailing the environment we're running in Dart-Code/Dart-Code#5969 - added most DASH__ env vars
    • Set DASH__TOOL env variable Dart-Code/Dart-Code#5989 - added DASH__TOOL
    • Add dashTool and dashIdeName query params for DevTools, and change Source=VSCode to Source={dashIdeName} for surveys Dart-Code/Dart-Code#6044 added dashIdeName and dashTool to DevTools querystrings
• [analytics] Update the Dart CLI to set analytics ENV variables when invoking sub-tools sdk#62876
• [analytics] Update the Flutter CLI to set analytics ENV variables when invoking sub-tools #2408 flutter/flutter#186696
• [analytics] Update devtools to set analytics ENV variables when invoking sub-tools flutter/devtools#9702
• [analytics] Update DAS to read (and pass) analytics ENV variables sdk#62875
• MCP Server analytics
  • https://dart-review.googlesource.com/c/sdk/+/493180