Not a HIPAA violation to simply disclose that Talarico was seen at medical treatment facility as long as the disclosure does not include protected health information such as the specific medical issue or treatment. For example, an employee of the facility could state -- without violating HIPAA -- that he saw Talarico at the facility in late September/early October as long as the employee does not disclose that he received treatment for a specific disease or the specific treatment that he received. The employee -- if identified -- might still get fired for breach of the employee code of conduct, but not for violating HIPAA.
In this case, acknowledging admission to a mental health facility is a HIPAA violation without a doubt.