I have a cake recipe that calls for vanilla pudding, but just realized half way in that I am out of vanilla pudding, all I have left is the oreo cookies and cream kind....The person I am making the cake for wants a white cake with strawberry/cream cheese filling...

I am wondering do you think it would work to sift out the cookie chunks out of the pudding or do I just leave the pudding out all together? Any advice is welcome! TIA