I'm also on the non-express entry PNP.
@PRHP28 @Frijolito94 so guys, I contacted the PGR to inquire about my PCC. They confirmed that they sent the document to the embassy on May 27, so it has been two weeks. Additionally, they shared some interesting information. They informed me that my request was included in a package of over 100+ requests, which is why it took a long time to be processed. They are uncertain about the embassy's processing time for sending the PCC to the IRCC. Nevertheless, it's reassuring to know that you can call them and confirm that your request has been processed!
This is the FGR info in case anyone's interested:
Dirección General de Control de Procesos Penales Federales ubicada en Avenida Insurgentes, número 20 de la Glorieta de Insurgentes, Planta Baja, Colonia Roma Norte, Del. Cuauhtémoc, C.P. 06700, Ciudad de México. Tel. (55) 53-46-00-00 Ext. 508427, 508428 y 508430; correo electrónico
aregistrales@pgr.gob.mx