Moved into ```fn load_compare_outputs(&self, proc_res: &ProcRes, explicit_format: bool) -> usize```

Addresses rust-lang#63751

Updates the dbg-macro-expected behavior test to remove the workaround and use the `check-run-result` flag/feature in compiletest. This serves to test the feature on a real use-case (as mentioned in rust-lang#63751)

Ignores run-pass tests with the `check-run-results` flag enabled for the
wasm32-bare ("wasm32-unknown-unknown") target, as it does not support
printing to stdout/stderr.

The remote-test-client outputs a message of the form "uploaded
"<build_dir>/<executable_path>", waiting for result" onto stdout when
executing a test, which is then captured in the process result. This needs to be removed when
comparing the results of the run-pass test execution.