### Context
As per PR title - figured this might be a nice convenience. Submitting a
SQL query in the chat form on the explorer home page will open the query
in a query tab and run it
<img width="854" height="632" alt="image"
src="https://github.com/user-attachments/assets/57dc7538-74b5-4801-a7ed-83c1cfaf123f"
/>
<img width="872" height="519" alt="image"
src="https://github.com/user-attachments/assets/597ce0eb-76d4-4f12-83db-20b628c03904"
/>
### To test
- [ ] Run a couple of SQL statements in the home tab - should open it in
query tab and run it
- [ ] Run a couple of non-SQL statements in the home tab, should default
to opening in a chat tab
<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->
## Summary by CodeRabbit
## Summary by CodeRabbit
- **New Features**
- SQL statements submitted from the Explorer home screen now open in a
query tab and run automatically.
- Natural-language prompts continue to open in the chat experience.
- Queries restored from drafts can automatically run once the editor is
ready.
- **Bug Fixes**
- Improved recognition of SQL with leading whitespace, comments, and
common statement formats while avoiding misclassification of
conversational prompts.
- Draft-based auto-run behavior now waits until the query editor is
ready.
<!-- end of auto-generated comment: release notes by coderabbit.ai -->
