fix(astro): Ensure runInjectionScript runs on initial page loads with view transitions enabled

[wobsoriano]

Description

Core 2 PR for #7801

Checklist

• pnpm test runs as expected.
• pnpm build runs as expected.
• (If applicable) JSDoc comments have been added or updated for any package exports
• (If applicable) Documentation has been updated

Type of change

• 🐛 Bug fix
• 🌟 New feature
• 🔨 Breaking change
• 📖 Refactoring / dependency upgrade / documentation
• other:

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Project	Deployment	Actions	Updated (UTC)
clerk-js-sandbox	Ready	Preview, Comment	Feb 9, 2026 5:42pm

[changeset-bot]

🦋 Changeset detected

Latest commit: 669f52e

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 1 package

Name	Type
@clerk/astro	Patch

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commit: 669f52e