chore: enable clippy::print_stdout and clippy::print_stderr (#23732)

1. Generally we should prefer to use the `log` crate.
2. I very often accidentally commit `eprintln`s.

When we should use `println` or `eprintln`, it's not too bad to be a bit
more verbose and ignore the lint rule.

cli/tools/info.rs

@@ -97,6 +97,7 @@ pub async fn info(flags: Flags, info_flags: InfoFlags) -> Result<(), AnyError> {
   Ok(())
 }
 
+#[allow(clippy::print_stdout)]
 fn print_cache_info(
   factory: &CliFactory,
   json: bool,