You can configure New Relic to flow alerts into Rootly following those instructions

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Configure Webhook

Cf. https://docs.newrelic.com/docs/alerts-applied-intelligence/new-relic-alerts/alert-notifications/notification-channels-control-where-send-alerts/
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Create a rootly webhook like shown below with
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url: https://rootly.com/webhooks/incoming/new_relic_webhooks. With Bearer token the token shown in your integration page:
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That’s how the configuration should look end to end:

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Test

Click Test Notification to test your webhook and you should see something similar to the image below in https://rootly.com/account/alerts
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All set!