Well this is on the assumption that you will be able to apply for pr in the meantime and send the AOR before they have time to process the application.
No, annieks´question was based on the stated rules, that you must include the AOR when you apply for the BOWP (meaning, the AOR must be issued before you are eligible to apply for the BOWP).
Nonetheless, we have seen some people on this forum reporting that they succeed with the BOWP if they obtain the AOR after applying, and append it to their application before a decision is made. This should not happen, according to the written rules, but we know it sometimes does. This leaves open a lot of uncertainty, but it´s worth a try (at least, until IRCC changes its rules or processes again).