In a previous update to Windows 11 Bitlocker was added to the Home version after a clean install of Windows 11, so it depends on when you installed Windows 11 Home, your drive may or may not be encrypted with Bitlocker.
1
I need to check if your drive is actually encrypted with Bitlocker.
Right click your Start Button and open Disk Management.
Please provide a screenshot of that window showing all drives and partitions in the bottom pane.
2
If your drive is encrypted with Bitlocker, the only place the Bitlocker Recovery key is automatically stored is on the associated Microsoft account on the link below, be sure to check any Microsoft account that may have been used on the PC and also any work or school account that may be linked to the PC.
(Note, even if your device does not show on the Microsoft account, the Bitlocker Recovery Key may still be available on this link)
https://account.microsoft.com/devices/recoverykey
Are you able to find the Bitlocker Recovery Key on any account that may have been used or linked to the PC?