Are you logging in online or through the app? I also have BCP and normally access my account through the app. Clicking on Account at the bottom shows a list, with the FICO Score option near the bottom. That gives me my Experian FICO 8 score. However, accessing my account online gives me my VantageScore 3.0 through their "MyCredit Guide". While I could see type of score being card specific, I haven't read anything about score availability being profile/score specific. Since we both have BCP, give the app a peek. 
@arealswellgirl wrote:I've seen numerous posts about people referencing their Amex Fico score, but they've only given me and my husband a TU Vantage score 3. Does anyone know if it's specific to the card or the person's profile whether they give a VS or a Fico? Or maybe it's score specific?
For reference I have a BCP with $2k CL (just approved last month) and Amex VS 3 score shows me at 722 (all 3 bureaus are showing Fico 8s in the 680s). Husband's is a Cash Magnet with a $7,600 CL and has had it since November. His EX 8 is 687 and his Amex VS3 is 712. Maybe I missed seeing that the Fico score is card specific and Fico isn't provided for these cards?
If you're accessing it on the web, go to Account Services > Profile > View FICO Score [near the bottom]. It will give you your EX FICO 8.
@Ficoproblems247 wrote:
For reference as an AU, it looks like they only offer the fico score for the primary account holder as that doesn't show for me in the location you shared.
Agreed - they make it much more straight forward in the app. I made it to account services, but I guess it didn't occur to me to search for it in Profile.
Don't be embarrassed, OP. More than one of us learned something new from your question! 