No need to re-run the Wizard.
Depending on how your connectors are setup for the address spaces, simply add the new on-prem one to the 365 > on-Prem connector and you are good.
IF the existing connector already is set to route all accepted domains to on-prem then you you do not have to make any changes there at all.
If this new domain is set as a primary SMTP address for some users and those mailboxes are on-prem, then add the new domain to the organizational sharing
https://learn.microsoft.com/en-us/exchange/sharing/organization-relationships/modify-an-organization-relationship#use-the-exchange-admin-center-to-add-a-domain-to-an-organization-relationship