Historically, when Debian first released, APT (not to be confused with the command apt), the Advanced Packaging Tool was developed. APT is a front-end to the dpkg command, Debian's package management software (also used by all Debian based distributions).

APT is an open-source command-line tool handling installation, configuration, and removal of packages.

apt-get was one of the main command-line tools included in APT. There are other commands in APT, and it's often confusing for the users.

The apt command was introduced in 2014 by Debian and was popularized after the Ubuntu 16.04 release. It is more user-friendly than apt-get, apt-cache, and all those more specialized tools.

apt Command	Command It Replaces	Function of Command
apt install	apt-get install	Install a package.
apt remove	apt-get remove	Remove package.
apt purge	apt-get purge	Remove package and configuration.
apt update	apt-get update	Refresh repository index.
apt upgrade	apt-get upgrade	Upgrade all upgradeable packages.
apt autoremove	apt-get autoremove	Remove unwanted packages.
apt full-upgrade	apt-get dist-upgrade	Upgrade package & auto-handle dependencies.
apt search	apt-cache search	Search for a package.
apt show	apt-cache show	Show package details.
apt list	new command	List packages with criteria (installed, all available, upgradeable)
apt edit-sources	new command	Edit the sources.list file in the preferred editor

apt-get install vs. apt install both provides information about the packages and dependencies installed. But apt install provides a progress bar and we have an idea of the remaining time.

Source: https://www.fosslinux.com/26044/guide-apt-vs-apt-get-commands-and-which-one-to-use.htm