If its available for the phone. You will see a notification in the Members App If you don't see it, and it's available for that range of phones. Then it's likely that the phone was supplied by a network provider. These phones normally have network optimisation software on them, so won't be eligible. The Beta program is open for unlocked phones only
In the service provider software version Should end in EUX Depending on what region you are in. But this will be an unlocked phone You can find it in settings About Phone Software Information
Mine has the EUX and got the October update few days back, and its directly from Samsung store unlocked in the UK, haven't received the 5.0 beta yet?? Maybe it's not available atm?
Yours is BTU that's carrier free aka unlocked your in the UK it's not out for UK aka exynos yet or I might be wrong ? I know it hit USA last night that's snapdragon cpu
Bruv you can't flash the USA firmware as you're cpu is Exynos USA is Snapdragon cpu it won't work I just checked sam mobile the latest firmware is andriod 12 with October patch until Samsung let's you guys try there's no android 13 for your model yet your only option is to wait sorry for bad news