docs(browser-run): clarify Browser Rendering permission name

[pucedoteth]

Summary

Summary

Clarifies the Browser Rendering API Token permission name in Browser Run documentation.

The Browser Run documentation uses the Browser Rendering - Edit permission name, which may be confusing because the product is now called Browser Run. This change adds a note explaining that the permission is still listed under the Browser Rendering name.

Fixes #32594.

Testing

Documentation-only change.

Screenshots (optional)

Documentation checklist

• Is there a changelog entry (guidelines)? If you don't add one for something awesome and new (however small) — how will our customers find out? Changelogs are automatically posted to RSS feeds, the Discord, and X.
• The change adheres to the documentation style guide.
• If a larger change - such as adding a new page- an issue has been opened in relation to any incorrect or out of date information that this PR fixes.
• Files which have changed name or location have been allocated redirects.

[cloudflare-docs-bot]

Review

✅ No issues found in commit 88c27f7.

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