If you do not have admin rights to retrieve your BitLocker recovery key, you may need to contact your IT administrator or the person responsible for managing your device. They can access the recovery key through the administration and monitoring website or other management tools.
If your device is managed by Microsoft Intune, you can also obtain the BitLocker recovery key from the Microsoft Intune admin center if you have access to that.
In cases where you have previously signed into the computer at least once, you might be able to use the Self-Service Portal to regain access to your BitLocker recovery key, but this typically requires some level of prior access to the device.
If all else fails, you may need to consider using a recovery image to reset your device, but this will result in data loss if not backed up.