Hello, @Druck its impossible to tell if Nokia 3 will get Android P beta update at this time. However, if I'm being really optimistic it could get released after all the mid range and high end phones of Nokia gets Android P after months and months. But still the Mediatek SOC on the Nokia have no info on whether it will support the Android P till now. Thank you.
I have asked Juvo sarvikas on Twitter about major updates for Nokia 2, 3, 5, 6, 7, & 8 (2017)..., they replied me they will get major updates like android Oreo (O) & android Pistachio (P) alongside with their new variants Like, Nokia 2.1, 3.1, 5.1, 6.1, 7+, and 8 sirrocco, hence we will get Oreo 8.1 & Android Pistachio (P) alongside with Nokia 3.1