Is it possible to set multiple eventbridge rules on a lambda?

I’d like to trigger a single lambda based on different rules (the source needs to be different). Can I set multiple event rules on a lambda? Something like the following:

mylambda:
    handler: lambdas/mylambda.handler
    description: Reusable lambda 
    iamRoleStatements:
      - Effect: Allow
        Action:
          - events:PutEvents
        Resource:
          - ${ssm:/foo/bar/myEventBus}
    events:
      - eventBridge:
          eventBus: ${ssm:/foo/bar/myEventBusArn}
          pattern:
            source:
              - foo
            detail:
              myKey:
                - bar
      - eventBridge:
          eventBus: ${ssm:/foo/bar/myEventBusArn}
          pattern:
            source:
              - baz
            detail:
              myKey:
                - oof

I found this https://www.serverless.com/framework/docs/providers/aws/events/event-bridge/ which seems to indicate it’s possible, but I can’t seem to get it to work.

I get the following error:

Failed to create resource. The statement id (mylambda-mylambda-rule) provided already exists. Please provide a new statement id, or remove the existing statement.