As you have used PERSONAL ACCESS TOKEN so you should not use password.
you should us authMode = token and user = your Token Value.
You may try with this JDBC string
String jdbcUrl = "jdbc:dremio:direct=sql.dremio.cloud:443;" + "ssl=true;" + "project_id=" + PROJECT_ID + ";" + "authMode=$token;" + "user=" + PAT + ";";
Please let us know whether it solved your problem or not.