GH-49744: [Integration][Format] Remove unneeded skips for Rust and nanoarrow integration tests (#49910)

### Rationale for this change

The current skip list in the Archery datagen (where the skip list is
kept) is out of date.

### What changes are included in this PR?

Skips were removed.

### Are these changes tested?

Yes, the integration test CI run should ensure these skips can in fact
be removed.

### Are there any user-facing changes?

No
* GitHub Issue: #49744

---------

Co-authored-by: Copilot <copilot@github.com>

Author: paleolimbot

.github/workflows/integration.yml

@@ -137,6 +137,7 @@ jobs:
             -e ARCHERY_INTEGRATION_WITH_JS=1 \
             -e ARCHERY_INTEGRATION_WITH_NANOARROW=1 \
             -e ARCHERY_INTEGRATION_WITH_RUST=1 \
+            -e RUST_BACKTRACE=1 \
             conda-integration
       - name: Docker Push
         if: >-

dev/archery/archery/integration/datagen.py

@@ -1936,17 +1936,13 @@ def get_generated_json_files(tempdir=None):
         generate_decimal32_case()
         .skip_tester('Java')
         .skip_tester('JS')
-        .skip_tester('nanoarrow')
         .skip_tester('Ruby')
-        .skip_tester('Rust')
         .skip_tester('Go'),
 
         generate_decimal64_case()
         .skip_tester('Java')
         .skip_tester('JS')
-        .skip_tester('nanoarrow')
         .skip_tester('Ruby')
-        .skip_tester('Rust')
         .skip_tester('Go'),
 
         generate_datetime_case(),
@@ -2003,25 +1999,24 @@ def get_generated_json_files(tempdir=None):
         .skip_tester('JS')
         # TODO(https://github.com/apache/arrow-nanoarrow/issues/618)
         .skip_tester('nanoarrow')
-        .skip_tester('Ruby')
-        .skip_tester('Rust'),
+        .skip_tester('Ruby'),
 
         generate_binary_view_case()
         .skip_tester('JS')
         # TODO(https://github.com/apache/arrow-nanoarrow/issues/618)
         .skip_tester('nanoarrow')
-        .skip_tester('Ruby')
-        .skip_tester('Rust'),
+        .skip_tester('Ruby'),
 
         generate_list_view_case()
         .skip_tester('.NET')     # Doesn't support large list views
         .skip_tester('JS')
         # TODO(https://github.com/apache/arrow-nanoarrow/issues/618)
         .skip_tester('nanoarrow')
-        .skip_tester('Ruby')
-        .skip_tester('Rust'),
+        .skip_tester('Ruby'),
 
         generate_extension_case()
+        # Also contains a dictionary column
+        # TODO(https://github.com/apache/arrow-nanoarrow/issues/622)
         .skip_tester('nanoarrow')
         # TODO(https://github.com/apache/arrow/issues/38045)
         .skip_format(SKIP_FLIGHT, '.NET')