Run local_engine.json builds in prod (#51931)

Finishes part 2 of https://github.com/flutter/flutter/issues/145263.

This required fixing a python script to use the version of Java obtained
through the DEPS file rather than one assumed to exist in the
environment.

.ci.yaml

diff --git a/.ci.yaml b/.ci.yaml
index 45fa508..d3a83a9 100644
--- a/.ci.yaml
+++ b/.ci.yaml
@@ -50,7 +50,6 @@
 # You may use those names for the android_virtual_device version.
 targets:
   - name: Linux local_engine_builds
-    bringup: true
     enabled_branches:
       - main
     recipe: engine_v2/engine_v2

ci/builders/local_engine.json

diff --git a/ci/builders/local_engine.json b/ci/builders/local_engine.json
index 679b566..a499692 100644
--- a/ci/builders/local_engine.json
+++ b/ci/builders/local_engine.json
@@ -118,10 +118,14 @@
       }
     },
     {
+      "cas_archive": false,
       "drone_dimensions": [
         "os=Mac-13",
         "device_type=none"
       ],
+      "gclient_variables": {
+        "use_rbe": true
+      },
       "gn": [
         "--runtime-mode",
         "profile",

shell/platform/android/BUILD.gn

diff --git a/shell/platform/android/BUILD.gn b/shell/platform/android/BUILD.gn
index 4b537f4..28c78d3 100644
--- a/shell/platform/android/BUILD.gn
+++ b/shell/platform/android/BUILD.gn
@@ -64,7 +64,8 @@
   inputs = [ "android_exports.lst" ]
   output_name = "flutter"
   deps = [ ":flutter_shell_native_src" ]
-  ldflags = [ "-Wl,--version-script=" + rebase_path("android_exports.lst") ]
+  ldflags = [ "-Wl,--version-script=" +
+              rebase_path("android_exports.lst", root_build_dir) ]
 }
 
 bin_to_assembly("icudtl_asm") {

testing/android/native_activity/native_activity_apk.py

diff --git a/testing/android/native_activity/native_activity_apk.py b/testing/android/native_activity/native_activity_apk.py
index 23813ab..2286d86 100644
--- a/testing/android/native_activity/native_activity_apk.py
+++ b/testing/android/native_activity/native_activity_apk.py
@@ -2,22 +2,39 @@
 # Use of this source code is governed by a BSD-style license that can be
 # found in the LICENSE file.
 
-import sys
-
 import argparse
 import os
-import zipfile
 import subprocess
+import sys
+import zipfile
 
 
-def run_command_checked(command):
+def run_command_checked(command, env=None):
   try:
-    subprocess.check_output(command, stderr=subprocess.STDOUT, text=True)
+    env = env if env is not None else os.environ
+    subprocess.check_output(command, stderr=subprocess.STDOUT, text=True, env=env)
   except subprocess.CalledProcessError as cpe:
     print(cpe.output)
     raise cpe
 
 
+def is_mac():
+  return sys.platform == 'darwin'
+
+
+def java_home():
+  script_path = os.path.dirname(os.path.realpath(__file__))
+  if is_mac():
+    return os.path.join(
+        script_path, '..', '..', '..', '..', 'third_party', 'java', 'openjdk', 'Contents', 'Home'
+    )
+  return os.path.join(script_path, '..', '..', 'third_party', 'java', 'openjdk')
+
+
+def java_bin():
+  return os.path.join(java_home(), 'bin')
+
+
 def main():
   parser = argparse.ArgumentParser()
 
@@ -55,6 +72,9 @@
   unsigned_apk_path = os.path.join(args.gen_dir, '%s.unsigned' % apk_name)
   apk_path = args.output_path
 
+  java_path = ':'.join([java_bin(), os.environ['PATH']])
+  env = dict(os.environ, PATH=java_path, JAVA_HOME=java_home())
+
   # Create the skeleton of the APK using aapt2.
   aapt2_command = [
       args.aapt2_bin,
@@ -66,7 +86,7 @@
       '-o',
       unaligned_apk_path,
   ]
-  run_command_checked(aapt2_command)
+  run_command_checked(aapt2_command, env=env)
 
   # Stuff the library in the APK which is just a regular ZIP file. Libraries are not compressed.
   with zipfile.ZipFile(unaligned_apk_path, 'a', compression=zipfile.ZIP_STORED) as zipf:
@@ -81,14 +101,14 @@
       unaligned_apk_path,
       unsigned_apk_path,
   ]
-  run_command_checked(zipalign_command)
+  run_command_checked(zipalign_command, env=env)
 
   # Sign the APK.
   apksigner_command = [
       args.apksigner_bin, 'sign', '--ks', args.keystore, '--ks-pass', 'pass:android', '--out',
       apk_path, unsigned_apk_path
   ]
-  run_command_checked(apksigner_command)
+  run_command_checked(apksigner_command, env=env)
 
   return 0