Поставьте Android Studio, я вам помогу настроить профиль. Гляньте личные сообщения.

Upd: Профиль настроил. Сборка и установка работает.

32 минуты назад, Viktor Akselrod сказал:

Попробуйте в качестве теста воспользоваться любым VPN сервисом.

Поэкспериментирую конечно с vpn, но боюсь. что это не поможет.  Java уже обновил до 18 версии.

Кстати, если удалить папку .gradle и запустить сборку, то будет видно в output, что gradle таки закачивается, но не запускается

Спойлер

Build started 23.12.2022 16:08:14.
__________________________________________________
Project "C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\PushNotificationDemo.dproj" (Make target(s)):
Target _PasCoreCompile:
    c:\program files (x86)\embarcadero\studio\22.0\bin\dccaarm.exe -$O- --no-config -M -Q -TX.so -AGenerics.Collections=System.Generics.Collections;Generics.Defaults=System.Generics.Defaults -DDEBUG;;FRAMEWORK_xfm -E.\Android\Debug -I"c:\program files (x86)\embarcadero\studio\22.0\lib\Android\debug";"C:\Android\FGX Native\Libs\280\Android\Debug";"c:\program files (x86)\embarcadero\studio\22.0\lib\Android\Release";"C:\Android\FGX Native\Libs\280\Android\Release";"C:\Android\FGX Native\Libs\Common\Android\Debug\armeabi-v7a" -LEC:\Users\Public\Documents\Embarcadero\Studio\22.0\Bpl\Android -LNC:\Users\Public\Documents\Embarcadero\Studio\22.0\Dcp\Android -NU.\Android\Debug -NSSystem;Xml;Data;Datasnap;Web;Soap; -O"c:\program files (x86)\embarcadero\studio\22.0\lib\Android\Release";"C:\Android\FGX Native\Libs\280\Android\Release";"C:\Android\FGX Native\Libs\Common\Android\Debug\armeabi-v7a" -R"c:\program files (x86)\embarcadero\studio\22.0\lib\Android\Release";"C:\Android\FGX Native\Libs\280\Android\Release";"C:\Android\FGX Native\Libs\Common\Android\Debug\armeabi-v7a" -U"c:\program files (x86)\embarcadero\studio\22.0\lib\Android\debug";"C:\Android\FGX Native\Libs\280\Android\Debug";"c:\program files (x86)\embarcadero\studio\22.0\lib\Android\Release";"C:\Android\FGX Native\Libs\280\Android\Release";"C:\Android\FGX Native\Libs\Common\Android\Debug\armeabi-v7a" --libpath:C:\Android\NDK\android-ndk-r21\platforms\android-23\arch-arm\usr\lib;C:\Android\NDK\android-ndk-r21\sources\cxx-stl\llvm-libc++\libs\armeabi-v7a --linker:C:\Android\NDK\android-ndk-r21\toolchains\arm-linux-androideabi-4.9\prebuilt\windows-x86_64\bin\arm-linux-androideabi-ld.exe -V -VN -NO.\Android\Debug  PushNotificationDemo.dpr   
Build succeeded.
    0 Warning(s)
    0 Error(s)
Time Elapsed 00:00:08.56
Build started 23.12.2022 16:08:24.
__________________________________________________
Project "C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\PushNotificationDemo.dproj" (Deploy target(s)):
Target _CleanRemoteDir:
    Cleaning APK Output Directory:  .\Android\Debug\PushNotificationDemo
    c:\program files (x86)\embarcadero\studio\22.0\bin\paclient.exe -u8 --Clean=".\Android\Debug\PushNotificationDemo,C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\PushNotificationDemo._@emb_.tmp"  
    Platform Assistant Client  Version 13.2.11.7
    Copyright (c) 2010-2022 Embarcadero Technologies, Inc.
    
    Deleting file(s)...
    Total file(s) deleted: 1 file(s)  2 dir(s)
    Deleting file "C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\PushNotificationDemo._@emb_.tmp".
Target StripAndroidLibrary:
    Creating directory "C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\Android\Debug\PushNotificationDemo\debug".
    Copying file from "C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\Android\Debug\libPushNotificationDemo.so" to "C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\Android\Debug\PushNotificationDemo\debug\libPushNotificationDemo.so".
    c:\program files (x86)\embarcadero\studio\22.0\bin\paclient.exe -u8 --stripdebug="C:\Android\NDK\android-ndk-r21\toolchains\arm-linux-androideabi-4.9\prebuilt\windows-x86_64\bin\arm-linux-androideabi-strip.exe,C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\Android\Debug\libPushNotificationDemo.so,C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\.android-build\app\src\main\library\lib\armeabi-v7a\libPushNotificationDemo.so"  
    Platform Assistant Client  Version 13.2.11.7
    Copyright (c) 2010-2022 Embarcadero Technologies, Inc.
    
Target BuildPackage:
    gradlew app:build
    Downloading https://services.gradle.org/distributions/gradle-7.4-bin.zip
    ...........10%...........20%...........30%...........40%...........50%...........60%...........70%...........80%...........90%...........100%
    
    Welcome to Gradle 7.4!
    
    Here are the highlights of this release:
     - Aggregated test and JaCoCo reports
     - Marking additional test source directories as tests in IntelliJ
     - Support for Adoptium JDKs in Java toolchains
    
    For more details see https://docs.gradle.org/7.4/release-notes.html
    
    Starting a Gradle Daemon (subsequent builds will be faster)
    
    FAILURE: Build failed with an exception.
    
    * Where:
    Build file 'C:\Users\yuris\Documents\FGX Native\Samples\PushNotification - Receive\.android-build\build.gradle' line: 3
    
    * What went wrong:
    Plugin [id: 'com.android.application', version: '7.3.0', apply: false] was not found in any of the following sources:
    
    - Gradle Core Plugins (plugin is not in 'org.gradle' namespace)
    - Plugin Repositories (could not resolve plugin artifact 'com.android.application:com.android.application.gradle.plugin:7.3.0')
      Searched in the following repositories:
        Gradle Central Plugin Repository
        Google
        MavenRepo
    
    * Try:
    > Run with --stacktrace option to get the stack trace.
    > Run with --info or --debug option to get more log output.
    > Run with --scan to get full insights.
    
    * Get more help at https://help.gradle.org
    
    BUILD FAILED in 34s
    C:\Android\FGX Native\MSBuild\FGX.Delphi.Android.Targets(80,5): error MSB3073: The command "gradlew app:build" exited with code 1.
Done building target "BuildPackage" in project "PushNotificationDemo.dproj" -- FAILED.
Done building project "PushNotificationDemo.dproj" -- FAILED.
Build FAILED.
C:\Android\FGX Native\MSBuild\FGX.Delphi.Android.Targets(80,5): error MSB3073: The command "gradlew app:build" exited with code 1.
    0 Warning(s)
    1 Error(s)
Time Elapsed 00:00:36.16

 

Нашел такой интересный момент, как настроить доступ  демона gradle через прокси, если блокируются IP адреса -  Accessing the web through a proxy

Теперь вопрос: А как собственно добавить эти настройки в проект FGX?

Example 22. Configuring an HTTP proxy using gradle.properties
systemProp.http.proxyHost=www.somehost.org
systemProp.http.proxyPort=8080
systemProp.http.proxyUser=userid
systemProp.http.proxyPassword=password
systemProp.http.nonProxyHosts=*.nonproxyrepos.com|localhost