Are all your VMs on the same subnet under the NAT? If so, you should be able to set up a reverse proxy and having ir route traffic on certain port(s) to your specific servers without needing a second ip. That, of course depends on the policies of your host.
I think you might be misunderstanding what bridging and NAT are.
Network Address Translation (NAT) is a technology that allows one IP to have many IPs behind it, and those IPs will route through a specific (potentially virtual) machine to reach things on the internet (and vice versa). In the case of a VPS hosting VMs or Containers it allows you to have many different VMs and Containers share a single IP and therefore save IPs and money.
Bridging is effectively creating a switch, so every VM would be directly connected to whatever network is a being bridged (sounds like that would be the internet in this case)
On a VPS you would almost definitely want to be using NAT
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