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Tesla’s support article says it’s only available in the US: Full Self-Driving Capability Subscriptions. You can check for yourself in the Upgrades section of the mobile app. Note that you need HW3 to subscribe.
You need FSD in order to participate in the FSD Beta.
I FSDrove home after installing 2022.4.5.21, and I don't think there was any notable change to FSD beta. It was my worst experience with it yet, but I think that was just a coincidence.