Which of the following is NOT a credit activity alert you could receive when running a customer's credit?

A credit freeze alert is a specific measure that prevents new creditors from accessing a consumer's credit report, effectively blocking new credit accounts from being opened in that individual’s name without their consent. It is typically requested by the consumer and is not an alert that would be generated automatically when running a customer's credit.

On the other hand, fraud alerts and identity theft alerts serve to notify potential lenders that a consumer may be a victim of fraud, prompting them to take extra precautions when reviewing any credit applications. Payment alerts also provide important information regarding a customer's payment history or any missed payments, which directly influence credit assessments.

Thus, the credit freeze alert stands out as not being a type of alert generated when merely running a customer's credit, as it involves proactive consumer actions rather than an alert system triggered by credit activity.