A few more steps...
AirPods Pro beta profile has started downloading.
Make sure you open BetaProfiles.com in Safari browser.
You will see the following prompt:
Tap Allow from the popup.
Important: Once installed on your AirPods Pro, the beta software cannot be removed.
Your unit will continue to run this software until an updated nonbeta version of the software is released. In the meantime, you’ll automatically receive any additional beta software updates as long as you've enabled your AirPods Pro to receive them using the steps below.
See instructions from Apple: Instructions_for_the_AirPods_Pro_Beta.pdf
• An iPhone running iOS 15 beta software
• A Mac running Xcode 13 beta software
• A set of AirPods Pro (fully charged)
Step 2 - Pair your AirPods Pro with your iPhone.
Verify that your AirPods Pro are connected to your iPhone or iPad.
Step 3 - Enable your AirPods Pro to receive beta software
Connect your iPhone or iPad to your Mac.
Launch Xcode 13 beta on your Mac.
On your iPhone or iPad, go to Settings > Developer, then choose Pre-Release Beta Firmware.
Find your AirPods Pro in the list of paired devices, then tap to turn on automatic beta software updates.
Read and follow the onscreen instructions for receiving beta software updates. Please be patient; it can take up to 24 hours to receive and install these updates.
Turning off beta software updates
If you no longer wish to receive beta software updates for your AirPods Pro, repeat the instructions in step 3 to turn them off. Although your AirPods Pro won’t receive any new beta software updates, they will remain on the installed beta software until the next release of nonbeta software is available.