To get the latest version of Apple Configurator, check the Updates tab in the App Store on your Mac. Learn about the requirements to use Apple Configurator 2.14.

I then copied the Apple Configurator 2 app from 1 Mojave Mac to the other Mojave Mac and I could successfully launch Configurator 2 on the second Mac. The version of Apple Configurator 2 that will work with High Sierra is 2.7.1. I have no idea whether the High Sierra Apple Configurator 2 will work for your needs with the Silicon Mac.
The macOS High Sierra 10.13.6 Update adds AirPlay 2 multiroom audio support for iTunes and improves the stability and security of your Mac. This update is recommended for all users. Today Apple released macOS 10.13.5, a major software update to macOS High Sierra.
Apple Configurator for Mac 2.13.3 Apple Configurator makes it easy for anyone to mass configure and deploy iPhone, iPad, and iPod touch in a school, business, or institution.

Download macOS High Sierra Using Dosdude Patcher. As stated earlier, Apple does not offer the full version of High Sierra and it provides only 19MB update file and it is beneficial for you when you have High Sierra. So, to get the same, you will have to go with Mac OS High Sierra Patcher.

What's new in Apple Configurator 2.14

New restrictions for Unpaired External Boot to Recovery and Unlock with Apple Watch

What's new in Apple Configurator 2.13.3

Support for macOS Big Sur
Support for restoring macOS on Mac computers with Apple silicon
Web Clip: Configure Ignore Manifest Scope and Target Application Bundle Identifier
Bug fixes and performance improvements

What's new in Apple Configurator 2.13.1

Multiple locations for VPP assignments
Restrictions: Allow app clips
Notifications: Allow notification previews on lock screen
Exchange ActiveSync: Override previous password
WiFi: Disable MAC address randomization
Dark mode

What's new in Apple Configurator 2.12.1

This update adds support for restoring firmware on Mac Pro (2019).

For iOS:

Apple Configurator 2 High Sierra Dmg Download

VPN: Configure Provider Designated Requirement for Custom SSL connection type
VPN: Configure network options for Cisco, Juniper, Pulse, F5, SonicWall, Aruba, CheckPoint, and Custom SSL connection types
- Send all traffic through VPN
- Exclude local networks

What's new in Apple Configurator 2.11.1

This update addresses an issue accessing saved organizations, tags, and Blueprints.

What's new in Apple Configurator 2.11

What's new in Apple Configurator 2.10

For iOS

Wi-Fi: Configure WPA3 Personal security type
VPN IKEv2: Configure Enable Fallback setting to support Wi-Fi Assist
Exchange ActiveSync: Enable Mail, Calendar, Contacts, and Reminders individually for managed accounts
Configure new supervised-only restrictions: Allow Find My Device, allow Find My Friends, allow turning Wi-Fi off or on, allow external drive access in Files app
Configure app single sign-on payload
Skip Dark Mode and Welcome panes in Setup Assistant
Allow Continuous Path Keyboard

For tvOS

Wi-Fi: Configure WPA3 Personal security type
Allow DeviceSleep

What's new in Apple Configurator 2.9

Phone number, ICCID, and IMEI details of connected Dual SIM devices are now reported in the device detail pane and cfgutil
Skip New Features Highlights in Setup Assistant using Automator action
Configure new restrictions: Personal Hotspot modification (supervised only)
Configure Certificate Transparency payload

Apple Configurator 2 High Sierra Dmg Download

What's new in Apple Configurator 2.8.2

What's new in Apple Configurator 2.8.1

For iOS

New Restrictions payload settings

Allow proximity based password sharing requests (supervised devices only)
Allow password sharing (supervised devices only)
Allow password autofill (supervised devices only)
Force automatic date and time (supervised devices only)
Allow USB accessories while device is locked (supervised devices only)
Allow managed Contacts accounts to write to unmanaged accounts
Allow unmanaged Contacts accounts to read managed accounts
Allow modifying eSIM settings (supervised devices only)

New Mail and Exchange payload settings

Allow a user to enable or disable S/MIME signing
Allow a user to modify the selection of the S/MIME signing certificate
Allow a user to enable or disable S/MIME encryption
Allow a user to modify the selection of the S/MIME encryption certificate

New Exchange payload settings

Use OAuth for authentication

New Notifications payload settings

Allow grouped notifications
Specify whether an app is allowed to send critical alerts
Show in CarPlay

New Setup Assistant pane Device Enrollment skip options

iMessage & FaceTime, Screen Time, and Keep Your Device Up to Date
Allow software update installation for non-admin users
Add Cellular Plan

For tvOS

New Restrictions payload settings

Allow proximity based password sharing requests (supervised devices only)

What's new in Apple Configurator 2.7.1

Preparing supervised devices for management by Configurator now automatically allows USB accessory connections while device is locked
Configure new supervised-only restriction for iOS 11.4.1: Allow USB accessories while device is locked

What's new in Apple Configurator 2.7

Apple Configurator 2 High Sierra Dmg File

Skip Setup Assistant panes in iOS 11.3 and tvOS 11.3
Configure new profile payloads and restrictions for iOS 11.3 including require Face ID authentication before AutoFill, configuring Managed Software Updates, CellularServices Service Exception, and require teacher consent before leaving teacher-created class
Configure new profile payloads and restrictions for tvOS 11.3 including restrict Remote connections from whitelisted iOS devices

What's new in Apple Configurator 2.6.1

Various bug fixes and improvements including the restoration of the ability to install configuration profiles on Apple TV (3rd generation)

Apple Configurator 2 High Sierra Dmg

What's new in Apple Configurator 2.5

Apple Configurator 2 High Sierra Dmg Mac

Provisionally add devices to Device Enrollment Program (DEP)
Skip Tap to Setup and Keyboard Chooser panes in iOS Setup Assistant
Skip Sign in to TV Provider pane in tvOS Setup Assistant
New profile payloads and restrictions for iOS including Restrict VPN Creation, AirPrint Security, DNS Proxy, and Managed class behavior on supervised student devices for Classroom
New tvOS payload for AirPlay Incoming Security
Support for configuring tvOS devices running tvOS 11 on the local network subnet