BUG #17960: pg_dump does not backup generated columns correctly.

The following bug has been logged on the website:

Bug reference: 17960
Logged by: Sajjad Hassany Pazoky
Email address: ijustloveit13(at)gmail(dot)com
PostgreSQL version: 15.2
Operating system: Windows
Description:

Hi

Dear are two stackoverflow bugs reported an none had an answer:

https://stackoverflow.com/questions/64600614/restoring-pg-database-from-dump-fails-due-to-generated-columns
https://dba.stackexchange.com/questions/327852/pg-dump-unable-to-produce-a-valid-backup

pg_dump does not wite DEFAULT for generated columns. So, it produces error
when restoring.
The strange part is that when I create the table again, fill it with data
and use pg_dump to bacup, it is correct, but the current table in the
database producecs wrong backup.

I tested this on Postgresql 13, 14, and 15.
I'm available if any assistance is needed.