Connecting to azure flexible postgres server via node pg - node.js

Question

I am using the free subscription at Azure and have successfully created a Ubuntu Server and a Flexible Postgres Database.
Until recently I accessed the DB directly from my Windows 10 desktop. Now I want to route all access through the Ubuntu Server.
For this I have installed Open SSH Client and Open SSH Server on my Windows 10 machine and done the necessary local port forwarding with ssh -L 12345:[DB IP]:5432 my_user#[Ubuntu IP]
The connection works, I confirmed it with pgcli on my desktop with pgcli -h 127.0.0.1 -p 12345 -u my_user -d my_db
But when I am trying to connect via node-pg I receive the following error
UnhandledPromiseRejectionWarning: error: no pg_hba.conf entry for host "[Ubuntu IP]", user "my_user", database "my_db", SSL off
I have already added a Firewall Rule in Azure with the [Ubuntu IP], and the error remains. What bugs me further is that in the Azure Portal of the DB I have enabled "Allow public access from any Azure service within Azure to this server", so the extra Firewall should not even be necessary for this connection.
For the last week, I have been stuck on this and now the connection is finally established, but not accessible by my code. Pretty frustrating. I would be glad about ANY pointers on how to fix this.
Edit #1:
I can't post the pg_hba.conf file. Because the Postgres DB is managed by Azure, I do not have access to pg_hba, which makes the situation more difficult to understand.
My node.js code for testing the connection:
const pg = require("pg");
const passwd = "...";
const client = new pg.Client({
user: 'admin',
host: '127.0.0.1',
database: 'test',
password: passwd,
port: 12345
});
client.connect()
client.on('uncaughtException', function (err) {
console.error(err.stack);
});
const query = "SELECT * FROM test";
try {client.query(query, (err,res) => {
if (err) {
console.error(err);
}
console.log(res);
})}
catch (e) {
console.error(e)
}

Answer 1

The comment by #jjanes helped me in understanding the issue, thank you.
This edited pg.Client config solved my problem:
const client = new pg.Client({
user: 'admin',
host: '127.0.0.1',
database: 'test',
password: passwd,
port: 12345,
ssl: {rejectUnauthorized: false}
});
I found this specific SSL option here https://node-postgres.com/features/ssl