supabase / supabase / 29871021703

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fix(studio): restore project creation panel chrome on /new (#48171)

## What kind of change does this PR introduce?

Bug fix

## What is the current behavior?

Regression from #48113: the regular `/new` project creation form is
missing its card border/shadow because Panel flatten classes were
applied when `!isVercelIntegrationFlow`.

## What is the new behavior?

Flattens Panel chrome only for the Vercel interstitial flow, restoring
the card on `/new`.

| Before | After |
| --- | --- |
| <img width="980" height="997" alt="New Project Supabase"
src="https://github.com/user-attachments/assets/5af9bc8b-5abd-47ea-9821-207ea5c2c127"
/> | <img width="980" height="997" alt="New Project Supabase"
src="https://github.com/user-attachments/assets/28a32216-d250-497c-90df-94e2df19ce00"
/> |

## Additional context

N/A

<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->

## Summary by CodeRabbit

* **Bug Fixes**
* Updated the project creation panel’s appearance during the Vercel
integration flow, removing unnecessary borders, shadows, and background
styling.

<!-- end of auto-generated comment: release notes by coderabbit.ai -->

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