You can apply the OWP after AIP.
Submit the file online may faster,
Work permit (new employer)
These applications can be submitted online or by paper.
Online
84 days
? Working on applications received on November 3, 2018.
Paper
113 days
?Working on applications received on October 5, 2018.
Here the info from AIP letter.
Applying for an open work permit and/or study permit
If you have not already done so, you may now apply for an open work permit, which will allow
you to work in the occupation and location of your choice. You may also apply for a study
permit. If applying for a study permit, please ensure you include a letter from the educational
institution you plan to attend. The letter should outline the type of course or program for which
you are registered, the start date and the expected completion date. To obtain the correct forms,
please visit the Immigration Refugees and Citizenship Canada (IRCC) website at
www.canada.ca