diff --git a/python3.14.spec b/python3.14.spec
index ac88f05..818289a 100644
--- a/python3.14.spec
+++ b/python3.14.spec
@@ -209,6 +209,10 @@ Provides: bundled(python3dist(packaging)) = 24
 # Remove the default -O2 flag, our flags are applied in %%build/%%install
 %global __global_compiler_flags %(echo '%{__global_compiler_flags}' | sed 's/-O[[:digit:]]//')
 
+# Changing the shebangs of the test files confuses the tests which count with a specific data offset
+# We can't remove the executable bit, the files are run directly in other tests
+%global __brp_mangle_shebangs_exclude_from ^%{pylibdir}/test/archivetestdata/exe_with_.*$
+
 # Disable automatic bytecompilation. The python3 binary is not yet be
 # available in /usr/bin when Python is built. Also, the bytecompilation fails
 # on files that test invalid syntax.
diff --git a/tests/tests.yml b/tests/tests.yml
index 8db7040..b1255ce 100644
--- a/tests/tests.yml
+++ b/tests/tests.yml
@@ -30,12 +30,11 @@
         run: "PYTHON=python{{ pybasever }}d TOX=false VERSION={{ pybasever }} CYTHON=false ./venv.sh"
     - selftest:
         dir: python/selftest
-        # test_data_offset_with_exe_prepended and test_data_offset_with_exe_prepended_zip64: https://github.com/python/cpython/issues/84481
-        run: "VERSION={{ pybasever }} X='-i test_check_probes -i test_sysconfigdata_json -i test_data_offset_with_exe_prepended -i test_data_offset_with_exe_prepended_zip64' ./parallel.sh"
+        run: "VERSION={{ pybasever }} X='-i test_check_probes -i test_sysconfigdata_json' ./parallel.sh"
     - debugtest:
         dir: python/selftest
         # test_base_interpreter: https://github.com/python/cpython/issues/131372
-        run: "VERSION={{ pybasever }} PYTHON=python{{ pybasever }}d X='-i test_check_probes -i test_sysconfigdata_json -i test_base_interpreter -i test_data_offset_with_exe_prepended -i test_data_offset_with_exe_prepended_zip64' ./parallel.sh"
+        run: "VERSION={{ pybasever }} PYTHON=python{{ pybasever }}d X='-i test_check_probes -i test_sysconfigdata_json -i test_base_interpreter' ./parallel.sh"
     - optimizedflags:
         dir: python/flags
         run: "python{{ pybasever }} ./assertflags.py -O3 CFLAGS PY_BUILTIN_MODULE_CFLAGS PY_CFLAGS PY_CORE_CFLAGS PY_CFLAGS_NODIST PY_STDMODULE_CFLAGS"