Hello, thank you for reaching out to Microsoft Q&A.
You can only add Microsoft devices or accessories, such as Surface laptops and Xbox controllers, by using the serial number directly in the Microsoft Devices section online.
If your Dell laptop is no longer recognized after reinstalling Windows, could you please tell me if you've set up the device using a local account or a Microsoft account?
Make sure you've signed in with your Microsoft account on the device. If the device is still not registered here, https://account.microsoft.com/devices, you can follow the provided steps.
To switch your Microsoft account to a local account:
- Go to Start > Settings > Accounts > Your info.
- Select 'Sign in with a Local account instead.'
- Follow the prompts to change your account to a local account.
- Sign out and then sign in with your local user account.
Next, switch your local account back to a Microsoft account:
- Go to Start > Settings > Accounts > Your info.
- Select 'Sign in with your Microsoft account instead.'
- Sign in with your Microsoft account.
- Check if your device appears in your Microsoft account device list at Settings > Accounts > Linked Devices.
You can also download an app from the Microsoft Store that will add your device to your Microsoft account's device list.
Let me know if you need further assistance.