CI integration test failing: Archery test With other arrows

[alamb]

Describe the bug

The integration CI test began failing today on unrelated PRs

For example, #6441 does not change anything related to arrow at all and previously passed all CI tests, but then started failing on rerun

Example failure:
https://github.com/apache/arrow-rs/actions/runs/11019977823/job/30603709550

Integration: Test: Result
  ################# FAILURES #################
  FAILED TEST: primitive Rust producing,  nanoarrow consuming
  <class 'subprocess.CalledProcessError'>: Command '/build/nanoarrow/nanoarrow_ipc_integration < /tmp/tmpliz4svj5/8df1b34a_generated_primitive.producer_file_as_stream' returned non-zero exit status 22.
  
  FAILED TEST: primitive_zerolength Rust producing,  nanoarrow consuming
  <class 'subprocess.CalledProcessError'>: Command '/build/nanoarrow/nanoarrow_ipc_integration < /tmp/tmpliz4svj5/e4bc7478_generated_primitive_zerolength.producer_file_as_stream' returned non-zero exit status 22.
  
  FAILED TEST: primitive_large_offsets Rust producing,  nanoarrow consuming
  <class 'RuntimeError'>: Command failed: /build/nanoarrow/nanoarrow_ipc_integration
  With output:
  --------------
  Validating that /tmp/tmpliz4svj5/44f1709c_generated_primitive_large_offsets.json_as_file reads identical to /tmp/arrow-integration-vmfk0_4_/generated_primitive_large_offsets.json
  Command VALIDATE failed (22=Invalid argument): Footer flatbuffer verification failed (16) vector header out of range or unaligned
...

To Reproduce
run CI job

Expected behavior
CI should pass

Additional context
It seems like this is perhaps related to unskipping NANOARROW in the integration tests here: apache/arrow#43715

[alamb]

I plan to disable the nanoarrow integration on CI until the underlying issue #5052 is fixed

[alamb]

Proposed fix for CI: #6449