Fix section rename updates for settings_data

[omribz156]

What are you adding in this PR?

Fixes #713.

When a section file is renamed, the language server already updates references in template JSON files, section group JSON files, and {% section %} tags. This adds the same focused rename behavior for config/settings_data.json, updating only current.sections[*].type values that match the renamed section.

I also added coverage to the existing section rename handler spec and included the required patch changeset.

What's next? Any followup issues?

Nothing from this patch. It intentionally does not rename block references inside settings_data.json; the maintainer note on the issue asked to update only the section type attribute.

What did you learn?

The rename flow already had a nice split between template, section group, and Liquid tag edits, so settings_data.json could be added as one more JSON source without changing the broader rename behavior.

Tophatting

• I added screenshots of the changes (before and after the changes if applicable)

Not applicable; language server rename behavior.

Verification:

• yarn workspace @shopify/liquid-html-parser build
• yarn workspace @shopify/theme-check-common build
• yarn workspace @shopify/theme-language-server-common build
• yarn vitest run packages/theme-language-server-common/src/renamed/handlers/SectionRenameHandler.spec.ts
• yarn workspace @shopify/theme-language-server-common type-check

Note: yarn install --frozen-lockfile initially failed on Windows because the theme-check-vscode postinstall script calls sh scripts/fetch-syntaxes.sh; after dependencies were linked, building the needed workspaces allowed the targeted test/type-check path to run.

This was implemented with Codex assistance and manually reviewed before opening the PR.

Before you deploy

• I included a patch bump changeset