Hey, are you using the PUBLIC_URL when accessing your database locally? If this is already the case, have you also tried to connect to it locally in other ways, such as programmatically with code or using psql?

Yes i tried all the way to connect railway database to my local pgadmin4 which is poing to 5432 ... but i am not able to access it ...apart from that i am not able to use database connectivity even in application also ...

What kind of error message are you seeing when trying to connect to it with the public? Can you try to remove the TCP proxy and regenerate one in your service's settings? Additionally, can you connect to it using the private url (DATABASE_URL)? You can check this by checking the database tab of your Postgres service.

Have you tried using a TCP proxy?