I need to do this exact same thing!

Finally i was able to connect data studio and mysql server inside a DO droplet :

1.- Allow mysql to accept external connections:

sudo vi /etc/mysql/mysql.conf.d/mysqld.cnf

look for
bind-address = 127.0.0.1
change it to
bind-address = 0.0.0.0

2.- restart the server to apply the changes:

sudo systemctl restart mysql

3.- Create a new admin user for mysql:

CREATE USER 'username'@'localhost' IDENTIFIED BY 'password';

GRANT ALL PRIVILEGES ON *.* TO 'username'@'localhost' WITH GRANT OPTION;

CREATE USER 'username'@'%' IDENTIFIED BY 'password';

GRANT ALL PRIVILEGES ON *.* TO 'username'@'%' WITH GRANT OPTION;

FLUSH PRIVILEGES;

4.- Open the ports:

sudo ufw allow mysql

That’s all folks now go to datastudio and setup the new connection with que data that you just create (New admin user).

Atte. Max Mussuto

looking at the same for postgres