My Windows says it can't activate because it is not connected to my organizations activation server, but it is my home PC.

It sounds like you're encountering an issue with Windows activation due to it trying to connect to an organization's activation server, which is common when a Windows installation was originally activated using a Volume License Key (VLK) intended for organizational use. Since you mentioned that you have a product key, you can try the following steps to resolve the activation issue without reinstalling Windows:

1. Check Your Internet Connection: Ensure that your PC is connected to the internet as this is necessary for activation.
2. Use the Command Prompt:
   • Open the Start menu, search for Command Prompt, right-click it, and select Run as administrator.
   • In the Command Prompt, type the following command to change the product key:

          slmgr.vbs -ipk YOUR-PRODUCT-KEY
     

     Replace YOUR-PRODUCT-KEY with the actual product key you have.
   • After that, type the following command to attempt activation:

          slmgr.vbs -ato
     

3. Check DNS Settings: The error code 0x8007007B can also indicate issues with DNS settings. Make sure your DNS server settings are correctly configured. You can check this by running ipconfig /all in the Command Prompt and verifying that the DNS server addresses are correctly set.
4. Use a MAK (Multiple Activation Key): If you are unable to activate using your current key, consider using a MAK if you have one available. You can change the product key to the MAK using the same command as above, replacing it with the MAK.
5. Contact Microsoft Support: If the above steps do not resolve the issue, consider contacting Microsoft Support for further assistance. They may be able to help you activate your Windows without needing to reinstall it.

By following these steps, you should be able to resolve the activation issue without losing your data or having to reinstall Windows.

References:

• Troubleshoot Windows activation error codes
• Windows Activation fails with error code: 0x8007267C

This means you are using a volume license the KMS type. This type of license is for organization users only. Organizational users are required to connect to the organization's KMS server to validate license every how often to stay activated. If you are not a organizational user, you shouldn't be using this type of license. It is considered a violation of licensing terms. If you are an organization user, contact your work IT regarding how to connect to their KMS server.

You can type cmd in the search on the taskbar and hit enter to launch command prompt, then run the following command:

slmgr /dlv

A pop up window will show you some details about your license. You can see if you mention volume license KMS somewhere.

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Launch Powershell (note, it is not Command Prompt, but Powershell), and run this code to see if you have an OEM license on the motherboard.

(Get-CimInstance -ClassName SoftwareLicensingService -Property OA3xOriginalProductKey).OA3xOriginalProductKey

If it returns a license key, it means your motherboard has an OEM license for Windows Home edition, but you need to do a clean install in order to use this OEM license to properly and legally activate your Windows Home.