Unless it's changed recently, the version of the Priority Pass membership that comes with the CSR card doesn't support the digital membership card. You can download and access the app for lounge info, but there's no way to get the digital membership card to show up.
I was really looking forward to PP as a nice perk of the card, but find that I'm not able to get the use out of it that I expected. DS and I used it once to access the lounge at PDX during our WDW trip last January. For our other stops it just didn't work out. Either our connections were too tight, or the lounge was located in another terminal that necessitated leaving the secure area and then going back through security. DS plans to PC his CSR to a FU in October when his next AF comes due, but I'm going to keep mine for the time being. Now that the lounge at PDX limits access to just the cardholder, with no guests, it eliminated the one place that we were likely to use it.