Microsoft 365 features that help users manage their subscriptions, account settings, and billing information.
Are you saying that you have one subscription and you are trying that subscription to install and activate Office on three computers? That should definitely work.
How is the PC on which activation fails different from the other two? The first thing to check is the account info at File > Account. Is the correct account (e-mail address) specified? Note that since this is a public forum, you mustn't post the e-mail here.
For more on activation issues, have a look at https://support.microsoft.com/en-us/microsoft-365-activation-licensing/office-install/activate-office-for-windows#bkmk_tshoot .
Note that the info in this Answer applies to Office for Windows. See my other Answer for info that applies to Office for Mac.