GH-37307: [Python][CI] Manually skip tests with skip_with_pyarrow_str…

…ings marker for nightly dask integration tests

ci/scripts/integration_dask.sh

@@ -31,7 +31,8 @@ python -c "import dask.dataframe"
 # pytest -sv --pyargs dask.bytes.tests.test_hdfs
 # pytest -sv --pyargs dask.bytes.tests.test_local
 
-pytest -v --pyargs dask.dataframe.tests.test_dataframe
+# The "skip_with_pyarrow_strings" marker is meant to skip automatically, but that doesn't work with --pyargs, so de-selecting manually
+pytest -v --pyargs dask.dataframe.tests.test_dataframe -m "not skip_with_pyarrow_strings"
 pytest -v --pyargs dask.dataframe.io.tests.test_orc
 # skip failing parquet tests
 # test_pandas_timestamp_overflow_pyarrow is skipped because of GH-33321.