Update Playground XML parser dependencies

[bghgary]

[Created by Copilot on behalf of @bghgary]

Context

Supersedes #721 and #735. Both generated updates select react-native-windows@1.0.0, an unrelated 2016 package that is incompatible with the Playground's React Native 0.81 toolchain.

Validation

• Clean npm installs for both Playground manifests; the installed graphs and npm audit contain only patched @xmldom/xmldom and fast-xml-parser releases.
• TypeScript package build, React Native CLI configuration, and Android release native-module build.
• iOS was not run locally on Windows. The existing Playground lint, test, direct TypeScript, and Windows bundle commands are not usable because their configuration or tests are absent, or because the unchanged Metro configuration fails before bundling.