Add environment variable definitions to run the nanoarrow integration…

… tests (#5764)

* maybe run the nanoarrow tests

* try to pass the location of nanoarrow to archery

* fix name

.github/workflows/integration.yml

@@ -57,15 +57,17 @@ jobs:
     env:
       ARROW_USE_CCACHE: OFF
       ARROW_CPP_EXE_PATH: /build/cpp/debug
+      ARROW_NANOARROW_PATH: /build/nanoarrow
       ARROW_RUST_EXE_PATH: /build/rust/debug
       BUILD_DOCS_CPP: OFF
       ARROW_INTEGRATION_CPP: ON
       ARROW_INTEGRATION_CSHARP: ON
       ARROW_INTEGRATION_GO: ON
       ARROW_INTEGRATION_JAVA: ON
       ARROW_INTEGRATION_JS: ON
+      ARCHERY_INTEGRATION_WITH_NANOARROW: "1"
       # https://github.com/apache/arrow/pull/38403/files#r1371281630
-      ARCHERY_INTEGRATION_WITH_RUST: ON
+      ARCHERY_INTEGRATION_WITH_RUST: "1"
       # These are necessary because the github runner overrides $HOME
       # https://github.com/actions/runner/issues/863
       RUSTUP_HOME: /root/.rustup