What versions are the right ones for Drupal 10?

Problem/Motivation

1. I am having troubles to understand what versions to use when installing AT. It starts with 7.1.0 or 8.x.x.x. What is the difference and which one to take?
2. When I try to install AT Tools for an 8.x version running "composer require 'drupal/at_tool:^3.1'" it fails saying

Your requirements could not be resolved to an installable set of packages.
Problem 1
- Root composer.json requires drupal/at_tool ^3.1 -> satisfiable by drupal/at_tool[3.1.1, 3.1.2].
- drupal/at_tool[3.1.1, ..., 3.1.2] require drupal/adaptivetheme ^7.0 -> found drupal/adaptivetheme[7.0.0, 7.1.0] but it conflicts with your root composer.json require (^5.4).

Steps to reproduce

Use Drupal 10.1.
Run:
composer require 'drupal/adaptivetheme:^5.4'
composer require 'drupal/at_tool:^3.1'

Proposed resolution

Remaining tasks

User interface changes

API changes

Data model changes