It seems that you are experiencing a significant issue with the Intel Bluetooth driver (version 24.1.1) that is causing your Windows 11 system to display a grey screen after installation. Unfortunately, the context provided does not contain specific information regarding this particular driver issue or its resolution.
However, you have already identified a couple of potential workarounds, such as using system restore or system image recovery, which are valid approaches to revert to a previous state. Additionally, pausing updates is a good temporary measure to prevent the problematic driver from reinstalling automatically.
For further assistance, I recommend checking the official Microsoft support channels or forums for any updates regarding this issue, as they may provide specific fixes or updates related to the Intel Bluetooth driver and its compatibility with Windows 11 builds.
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