[WhiskyChoy]

Summary

• hide TeXLive and Tectonic child process console windows on Windows by applying CREATE_NO_WINDOW
• cover the TeXLive subprocess chain used by xelatex/pdflatex, biber/bibtex, xdvipdfmx, version detection, and the isolated Tectonic subprocess
• use the correct PATH separator on Windows when prepending the TeXLive bin directory

Why

On Windows, compiling with the TeXLive backend spawned visible console windows during each compile, while macOS stayed windowless. The Rust desktop app already suppresses console windows for other Windows child processes like Claude CLI and uv; this aligns the LaTeX compiler path with that behavior.

Validation

• cargo check
• cargo test
• pnpm --filter @claude-prism/desktop test
• pnpm --filter @claude-prism/desktop build
• manual verification on Windows: TeXLive compilation no longer flashes a console window and PDF compilation still succeeds

[Copilot]

Pull request overview

This PR updates the Windows TeXLive/Tectonic compilation flow in the Tauri desktop app to avoid flashing console windows by applying the Windows CREATE_NO_WINDOW process creation flag, and fixes PATH prepending to use the correct Windows separator.

Changes:

• Apply CREATE_NO_WINDOW to TeXLive/Tectonic-related child processes on Windows (engine passes, biber/bibtex, xdvipdfmx, version detection, and the isolated Tectonic subprocess).
• Fix TeXLive PATH prepending on Windows to use ; instead of :.
• Refactor several Command::new(...).args(...).output() call sites into a mut cmd pattern to allow Windows-only creation_flags(...).

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[WhiskyChoy]

The only failed check appears to be Copilot's artifact cleanup step (403 Resource not accessible by integration) during post-run cleanup. The actual review/upload steps passed, so this looks unrelated to the code change itself.