In config/config.php add an entry for the config provider \Dot\Log\ConfigProvider::class
Make sure it is added before the Application-Specific components, e.g.:
\Frontend\App\ConfigProvider.php
\Admin\App\ConfigProvider::class
\MyProject\ConfigProvider::class etc.
Add the logger configuration in an autoload config file, e.g. you can create config/autoload/logger.global.php.
Follow the Configuring the writer(s) chapter for a simple working example.
Dot\Log\ConfigProvider has an abstract factory LoggerAbstractServiceFactory::class which corresponds to the alias, not the class name.
Instead of requesting Dot\Log\Logger::class from the container, use dot-log.my_logger.