[CI][C++] CMake configure fails in Rust integration job

[mbrobbel]

Describe the bug, including details regarding any error messages, version, and platform.

CMake configure failed for Arrow C++ (for integration testing with Archery) in Rust CI with:

 CMake Error at cmake_modules/ThirdpartyToolchain.cmake:2292 (find_program):
 Could not find PATCH using the following names: patch
 Call Stack (most recent call first):
 CMakeLists.txt:523 (include)

Looks like the image was updated 2 hours ago: https://hub.docker.com/layers/apache/arrow-dev/amd64-conda-integration/images/sha256-cf7e568c61ab7981d955c013d000c832b3e915c27f1f03abf880e1ae37410a32

Looks like we missed add patch somewhere in #47589

Edit: rerunning, maybe this was timed just between the merge and docker push.
Edit2: looks like this was indeed using an older image. I'll close this if CI is ✅

https://github.com/apache/arrow-rs/actions/runs/18373147307/job/52340920175?pr=8578#step:14:1623

Component(s)

Continuous Integration

[mbrobbel]

CI picked up old image with new commit from #47589. Retry fixed it.