To export your contacts from the New Outlook and add them to Gmail, you need to download them as a CSV file using Outlook's web or app interface, then upload that file into your Google Contacts. [1, 2]
Here is the step-by-step process:
Step 1: Export Contacts from New Outlook
Open the New Outlook for Windows, Mac, or Outlook on the Web .
Click on the People icon (two silhouettes) on the left-hand navigation pane to open your contacts.
Be sure you’ve selected the Your contacts selection on the resulting menu.
Choose Export from the ribbon menu at the top of the screen..
You will be prompted to verify that you are exporting your contacts to a CSV file for importing into other apps like Gmail and Yahoo. Read to confirm, then click Export. This will download a (Comma Separated Values) file to your computer. [2, 3, 4]
Step 2: Import Contacts to Gmail
Open your web browser and navigate to Google Contacts.
Log in with the Gmail account you want to transfer the contacts to.
On the left sidebar, click Import.
Click Select file and locate the file you downloaded from Outlook.
Click Import. Your contacts will be added to your Gmail account within a few moments. [3, 5, 6, 7]
[1] https://www.youtube.com/watch?v=CadB1F0OIsM
[2] https://support.microsoft.com/en-us/outlook/export-contacts-from-outlook-com-or-outlook-on-the-web
[4] https://learn.microsoft.com/en-us/answers/questions/5817650/how-to-export-contacts-to-gmail
[6] https://www.ablebits.com/office-addins-blog/import-outlook-contacts-gmail/