Thank you for the informationI guess you would need to apply for the PRTD in this case but I might be wrong so better to wait for more experienced Folks to comment on that.
Details can be found here:
https://www.canada.ca/en/immigration-refugees-citizenship/services/application/application-forms-guides/application-permanent-resident-travel-document.html
As for the long wait on the issuing of the PR cards, there was an interesting article regarding this matter shared by legalfalcon:
https://cila.co/where-are-the-pr-cards-canadas-immigrants-deserve-to-know/