Transparent Firewall: pros and cons

Hi,

I'm considering the following firewall setup on a public IPv4 provided
by my ISP:
Transparent / bridged firewall
<https://shorewall.org/bridge-Shorewall-perl.html>

The local network should be considered as a DMZ, means any service
running in this network is accessable from WAN.
Having only on public IPv4 I need to add a forward proxy service in the
DMZ in order to use multiple services (e.g. mail, cloud).

Can you please advise if this setup is reasonable for this use case?
Or should a standard setup with a routed firewall be preferred?

THX