but now my UAE PCC has expired as it's valid for only 3 months and UAE police is only willing to email me my new PCC.
I dont quite understand this part. So it is already expired? or each certificate is only valid for 3 months?
When I originally applied for my very first work permit, (before I started my PR application) I gave them all certificates, except the US, FBI one, which takes 3 months due to a massive backlog. They granted me 3 month extension. I got it 4 days before the deadline, and received my work permit couple of days later
I have no idea how lenient they are with missing police certificates on PR applications. I suggest you start a brand new post about it. Good luck! Let me know how it goes.