Quartus error libpng12.so.0 on Ubuntu 22.04

If you read the readme file, this is the supported OS:

System Requirements

===================

Operating system support

------------------------

* Windows 7 SP1(64 bit)

* Windows 8.1 (64 bit)

* Windows 10 (64 bit)

* Windows Server 2008 R2 SP1 (64 bit)

* Windows Server 2012 R2 SP1 (64 bit)

* Red Hat Enterprise Linux 5.11 (64 bit)

* Red Hat Enterprise Linux 6.8 (64 bit)

* Red Hat Enterprise Linux 7.3 (64 bit)

* SUSE SLE 12

* Ubuntu 14.04.5 LTS (64 bit)

* Ubuntu 16.04.2 LTS (64 bit)

As such, you may think about downgrading your OS for the supported Quartus.