What you want is alertmanager clustering.
Create two separate alertmanagers in separate hosts (or pods). They can use the same path prefix '/' or '/alertmanager/' as appropriate, since they have separate hostnames (or service names).
Configure prometheus to send alerts to both alertmanagers, by listing them both in the 'targets' section:
alerting:
alertmanagers:
- static_configs:
- targets: ['alertmanager1.monitoring.svc:9093', 'alertmanager2.monitoring.svc:9093']
Configure the two alertmanagers to gossip to each other with the --cluster.* flags. For more information, please read the documentation: