Fix router framework install links

[MoonBrillante]

Fixes #859

This PR adds the Router framework install path so the React and Solid "Full install instructions" links point to the quick-start pages instead of the broken installation page.

Summary by CodeRabbit

• Updates
  • Updated quick-start documentation routing configuration to support framework-specific installation guides with standardized path templates.

[netlify]

👷 Deploy request for tanstack pending review.

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Name	Link
🔨 Latest commit	5e2f3ee

[coderabbitai]

No actionable comments were generated in the recent review. 🎉

ℹ️ Recent review info

⚙️ Run configuration

Configuration used: defaults

Review profile: CHILL

Plan: Pro

Run ID: 10bb155e-b018-4028-93a0-5abce3f0b43a

📥 Commits

Reviewing files that changed from the base of the PR and between c937585 and 5e2f3ee.

📒 Files selected for processing (1)

• src/libraries/libraries.ts

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📝 Walkthrough

Walkthrough

Adds an installPath property to the TanStack Router library configuration, specifying a framework-parameterized quick-start documentation route template to correct broken installation instruction links.

Changes

Cohort / File(s)	Summary
Router Library Configuration src/libraries/libraries.ts	Adds installPath: 'framework/$framework/quick-start' to the router LibrarySlim object to fix broken documentation links for framework-specific installation instructions.

Estimated code review effort

🎯 1 (Trivial) | ⏱️ ~2 minutes

Poem

🐰 A path was broken, links gone astray,
But now the router knows the way,
Through frameworks bright with $framework in tow,
Quick-start instructions steal the show! ✨

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The title 'Fix router framework install links' accurately summarizes the main change—adding an installPath field to fix broken framework installation links.
Linked Issues check	✅ Passed	The code change directly addresses issue #859 by adding the installPath field to route broken links to the quick-start pages as required.
Out of Scope Changes check	✅ Passed	The change is narrowly scoped and directly related to fixing the broken install links described in the linked issue.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.

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✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests

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