docs(lit): fix casing typos and broken syntax in quick-start

[kushaim]

🎯 Changes

The Lit framework quick-start had three bugs in the same file:

1. Line 6 (text): `TanstackFormController` (lowercase s). The class is TanStackFormController per packages/lit-form/src/tanstack-form-controller.ts. Same casing is used correctly on lines 16 and 40.

2. Line 16 (code): new TanStackFormController()<Employee>(this, ...). The angle brackets form a separate call on the result of the constructor — invalid TypeScript. The type parameter belongs on the constructor: new TanStackFormController<Employee>(this, ...).

3. Line 28 (text): `TanstackFormController` again, same lowercase s typo as line 6.

The casing typos are inconsistent with the rest of the file and would mislead anyone reading the intro text. The line 16 syntax error means a copy-pasted example would fail to compile. All three are fixed in this single commit.

✅ Checklist

• I have followed the steps in the Contributing guide.
• I have tested this code locally with pnpm test:pr. (N/A — docs-only, no code paths affected)

🚀 Release Impact

• This change affects published code, and I have generated a changeset. (N/A — docs only, no published code changed)
• This change is docs/CI/dev-only (no release).

[coderabbitai]

📝 Walkthrough

Walkthrough

The Lit Quick Start documentation now consistently uses TanStackFormController, including its explanatory text, TypeScript example, and template-wiring instructions.

Changes

Lit Quick Start

Layer / File(s)	Summary
Correct controller naming in the guide docs/framework/lit/quick-start.md	Updates controller references and the example instantiation to use the corrected TanStackFormController identifier and casing.

Estimated code review effort: 1 (Trivial) | ~2 minutes

Suggested reviewers: copilot

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.
Linked Issues check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check	✅ Passed	Check skipped because no linked issues were found for this pull request.
Title check	✅ Passed	The title accurately summarizes the Lit quick-start docs fixes: casing typos and invalid constructor syntax.
Description check	✅ Passed	The description follows the template and includes changes, checklist items, and release impact details.

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests

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[Copilot]

Pull request overview

Fixes Lit quick-start documentation issues so readers see the correct controller name and can copy/paste a valid TypeScript example.

Changes:

• Correct TanStackFormController casing in introductory text (was TanstackFormController).
• Fix invalid generic syntax in the example (new TanStackFormController<Employee>(...)).
• Correct casing again in the later explanation of the field method.

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