Can't install pgadmin4 on Ubuntu 21.10 / SOLVED with how to make a terminal command alias

Alright folks, going a bit crazy here.

I'm running Ubuntu 21.10 impish off of an external ssd. Things are working well, trying to install pgadmin4 by following the guide here:

https://www.pgadmin.org/download/pgadmin-4-apt/

namely, adding the extra the PPA , updating the apt repository, and then installing with apt:

# Setup the repository
#

# Install the public key for the repository (if not done previously):
sudo curl https://www.pgadmin.org/static/packages_pgadmin_org.pub | sudo apt-key add

# Create the repository configuration file:
sudo sh -c 'echo "deb https://ftp.postgresql.org/pub/pgadmin/pgadmin4/apt/$(lsb_release -cs) pgadmin4 main" > /etc/apt/sources.list.d/pgadmin4.list && apt update'

#
# Install pgAdmin
#

# Install for both desktop and web modes:
sudo apt install pgadmin4

# Install for desktop mode only:
sudo apt install pgadmin4-desktop

# Install for web mode only: 
sudo apt install pgadmin4-web 

# Configure the webserver, if you installed pgadmin4-web:
sudo /usr/pgadmin4/bin/setup-web.sh

^ note these are the official instructions from pgadmin.org, which says it has support for Ubuntu 21.10 (Impish, from v6.2) (I don't know what the v6.2 means, but whatever)

It appears that everything installs, and then when I try running $ pgadmin4 , nothing happens

I tried manually specifying amd64 architiecture and even switching to the LTS focal endpoint using $ sudo vim /etc/apt/sources.list.d/pgadmin4.list, changing

deb https://ftp.postgresql.org/pub/pgadmin/pgadmin4/apt/impish pgadmin4 main

to

deb [arch=amd64] https://ftp.postgresql.org/pub/pgadmin/pgadmin4/apt/focal pgadmin4 main

Still no joyy....what am I missing here? and Ideally, how would I do it all in an automated script? Setting up a new system, and wrestling with stuff like this is never enjoyable.

UPDATE: Turns out it was installed (I would have seen it if I had just pushed the Super key and searched for it). But to make a terminal command, you have to look for the path to the executable and make a custom alias. Accepted answer gives a good description of how you might generally do that