feat(json-tree): expose searchInputProps for internal TextInput customization

[gfazioli]

Summary

• Adds searchInputProps?: TextInputProps on JsonTree to forward props to the internal search <TextInput>.
• Lets consumers customize the search bar via Mantine's native classNames, styles, vars, variant, radius, size, etc. — no specificity hacks or `!important` required.
• The prop is spread before the controlled `value`/`onChange` (still owned by JsonTree) and before the Styles API `searchInput` selector, so consumers can override defaults without breaking search.

Also bumps yarn 4.13.0 → 4.14.1 and minor dep updates (Mantine 9.1.1, Storybook 10.3.6, oxlint, TypeScript) in a separate commit.

Closes #20

Test plan

• `yarn test` (55 tests passing, 2 new for the prop)
• `yarn build` + `yarn docgen` + `yarn docs:build`
• Manual visual check at http://localhost:9281
• New demo `searchInputStyling` in docs
• New Storybook story `WithSearchInputStyled`

Example

```tsx
<JsonTree
withSearch
searchInputProps={{
radius: 'xl',
variant: 'filled',
styles: {
input: { backgroundColor: 'var(--mantine-color-dark-7)' },
},
}}
/>
```

[Copilot]

Pull request overview

This PR extends the @gfazioli/mantine-json-tree JsonTree component API to allow consumers to customize the internal search TextInput by forwarding Mantine TextInput props, addressing styling limitations introduced with Mantine v9. It also updates tooling/dependencies (Yarn, Mantine, Storybook, etc.) and updates docs/demos/stories/tests to cover the new capability.

Changes:

• Add searchInputProps?: TextInputProps to JsonTree and forward it to the internal search input.
• Add tests + Storybook story + docs demo/section showcasing customized search input styling.
• Bump Yarn and several dependencies (including Mantine and Storybook) and update lockfile accordingly.

Reviewed changes

Copilot reviewed 9 out of 11 changed files in this pull request and generated 2 comments.

Show a summary per file

File	Description
package/src/JsonTree.tsx	Adds searchInputProps to the component props and forwards it to the search TextInput.
package/src/JsonTree.test.tsx	Adds tests validating prop forwarding and that value/onChange remain controlled by JsonTree.
package/src/JsonTree.story.tsx	Adds a new story demonstrating custom search input styling via searchInputProps.
docs/docs.mdx	Documents how to customize the search input using searchInputProps.
docs/demos/index.ts	Exports the new searchInputStyling demo.
docs/demos/JsonTree.demo.searchInputStyling.tsx	Adds a new demo showing searchInputProps usage.
package.json	Updates Yarn version and dev dependencies (Mantine, Storybook, etc.).
docs/package.json	Updates docs-site Mantine deps and TypeScript version.
.yarnrc.yml	Points to Yarn 4.14.1 release file.
yarn.lock	Regenerates lockfile for updated toolchain/dependencies.