Such complexity to handle something built-in and simple to configure? I concur... use alerts instead!

USE [msdb]

GO

--create "Operator" with customer's email

EXEC msdb.dbo.sp_add_operator @name=N'AppSupport',

@enabled=1,

@email_address=N'customer@emailthem.com',

@category_name=N'[Uncategorized]'

GO

--create deadlock alert

EXEC msdb.dbo.sp_add_alert @name=N'DeadLocks',

@message_id=0,

@severity=0,

@enabled=1,

@delay_between_responses=5,

@include_event_description_in=1,

@notification_message=N'SQL Server deadlock alert.',

@category_name=N'[Uncategorized]',

@performance_condition=N'SQLServer:Locks|Number of Deadlocks/sec|_Total|>|0',

@job_id=N'00000000-0000-0000-0000-000000000000'

GO