Make formatter ecosystem check failure output better understandable (#6300)

**Summary** Prompted by
https://github.com/astral-sh/ruff/pull/6257#issuecomment-1661308410, it
tried to make the ecosystem script output on failure better
understandable. All log messages are now written to a file, which is
printed on error. Running locally progress is still shown.

Looking through the log output i saw that we currently log syntax errors
in input, which is confusing because they aren't actual errors, but we
don't check that these files don't change due to parser regressions or
improvements. I added `--files-with-errors` to catch that.

**Test Plan** CI

.github/workflows/ci.yaml

@@ -55,6 +55,7 @@ jobs:
               - crates/ruff_python_index/**
               - crates/ruff_text_size/**
               - crates/ruff_python_parser/**
+              - crates/ruff_dev/**
 
   cargo-fmt:
     name: "cargo fmt"
@@ -336,7 +337,7 @@ jobs:
       - name: "Formatter progress"
         run: scripts/formatter_ecosystem_checks.sh
       - name: "Github step summary"
-        run: grep "similarity index" target/progress_projects_report.txt | sort > $GITHUB_STEP_SUMMARY
+        run: grep "similarity index" target/progress_projects_log.txt | sort > $GITHUB_STEP_SUMMARY
       # CPython is not black formatted, so we run only the stability check
       - name: "Clone CPython 3.10"
         run: git clone --branch 3.10 --depth 1 https://github.com/python/cpython.git crates/ruff/resources/test/cpython