PM in Network Operations

I have been working in operations/infrastructure/networking at a Fortune 500 company for the last 10 years. For the last 4 years I specifically work with our network team managing the work for our various teams and running various projects. Recently my title changed to Product Manager. I am struggling with how my responsibilities should change with this role. I am not delivering a product per say. We have many network services/platforms that we offer from other vendors. We are working on more automations so I can see that potentially being applicable. More often than not we are climbing out of tech debt and doing refreshes of old hardware when we get money so I will manage those efforts but see it more as project management. Anyone in infrastructure/operations - what true product management work do you do?