Replace all `eprintln!` calls in daemon-context code with
`let _ = writeln!(std::io::stderr(), ...)` so that broken pipe errors
on stderr are silently ignored instead of panicking.
The CLI client spawns the daemon with piped stderr to capture startup
errors, then drops the pipe handle once the daemon is ready. Any
subsequent `eprintln!` in the daemon panics because Rust's `eprintln!`
macro internally unwraps the write result. This caused the reported
"failed printing to stderr: Broken pipe (os error 32)" panic during
Chrome launch on Linux.
Closes#799
Co-authored-by: ctate <366502+ctate@users.noreply.github.com>
