Hi @Rose Ingrande,
Thanks for your input.
Using the Exchange Admin Center, we do need to add clients' domains one by one. For instance, input 'test01.domain.com' in the text box and click the '+' button. Then, proceed to input the next domain.

Additionally, I’ve identified an alternative approach to add clients’ domains in bulk by executing a command in the Exchange Management Shell.
Following is an example:
New-TransportRule -Name "AddDisclaimerToExternalDomains" -SentToScope NotInOrganization -ExceptIfRecipientDomainIs @("test01.domain.com", "test02.domain.com", "test03.domain.com") -ApplyHtmlDisclaimerText "test01" -ApplyHtmlDisclaimerLocation Prepend
If the answer is helpful, please click "Accept Answer" and kindly upvote it. If you have extra questions about this answer, please click "Comment".
Note: Please follow the steps in our documentation](https://aka.ms/msftqanotifications)"https://aka.ms/msftqanotifications)") to enable e-mail notifications if you want to receive the related email notification for this thread.