Hello,
That's correct, Microsoft 365 Basic is for 100GB OneDrive storage only. It doesn't come with office apps. https://www.microsoft.com/en-us/microsoft-365/p/microsoft-365-basic/cfq7ttc0ktxs
If this was purchased by mistake, you would need to contact support, explain to them and see if they allow you refund. But you need to cancel it first via https://account.live.com > Subscriptions.
On your computer, launch the Get Help app from the start menu, then type in Refund as the keyword. On the next page, you can click on "Contact support" button. Then fill out a few more details and you will be directed to the page where you will have the option to chat with a live support agent.
As for transfering your Office apps from the old computer. Is it a subscription or a one-time purchase?
Do you still have access to the old computer? If so, go to Settings > Apps > Installed apps, locate it and uninstall it first.
Then on the new computer, Please go to https://www.office.com
Sign into the Microsoft account linked to the Office. Then click on Apps on the left.
Then on the upper right, click on "Install apps". This will now download the installer file. Once downloaded, click on the file to install. It will install the Desktop version of the apps for you then.
https://support.microsoft.com/office/download-install-or-reinstall-microsoft-365-or-office-2024-on-a-pc-or-mac-4414eaaf-0478-48be-9c42-23adc4716658