Miscellaneous topics that do not fit into specific categories.
First, to see exactly which Microsoft 365 subscription you have, sign in here:
https://account.microsoft.com/services
Under Services & subscriptions, you should see whether you have Microsoft 365 Basic, Personal, Family, Premium, etc. The apps and features available to you depend on that specific plan. However, these services are not related to the Bing alert you brought up.
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For the Bing alerts, totally separate issue. Are you using Windows 11? If so, if these are notifications appearing in the lower-right corner of Windows, they may be website notifications from Bing through Microsoft Edge. In Edge, go to Settings > Privacy, search, and services > Site permissions > All sites, select Bing, and change Notifications to Block.
If that is not the type of Bing alert you are seeing, please share a screenshot of one of the alerts. That would help determine exactly where it is coming from so I can fine-tune my answer.