Advice for multisite

I have a multi site install where the domain is http://www.mysite.com with a path of /agent-templates/. I am wanting to change the domain to newsite.com/ with out agent-templates path. Would I search for http://www.mysite.com/agent-templates and replace with newsite.com. Or do I need to do a separate search and replace for the url and path? Thank you in advance for you help.

https://wordpress.org/plugins/better-search-replace/