Can I specify what tags are applied to annotations created from alerts?

We have different alerts on a single dashboard for different environments (since alerts don’t handle templated variables, and we don’t want to have duplicate dashboards just for alerting). I’d like to have alert queries for tags so that we can show annotations that were created from alerts firing against our int. series vs our prod. series. Here’s what my series list looks like right now so that you have an idea:

image

So with this, we can display our graph based on the $env variable, but still alert for specific environments. I’d like to apply specific tags to annotations generated by these alerts - is that possible?