Sharepoint site auto provisioning including flows

Hi all,

I'm trying to replicate a process we have currently in a Sharepoint workflow.

We have a request process for when a new project is starting up.  Someone requests a Sharepoint site with the info and it auto-builds them a Sharepoint site from a template and site script.  That's all working, and it even replicates the Sharepoint integrated Power App into the new site with its new list that got auto-created for the new project.

What's needed next is, a flow to get auto-created that that triggers off "when a new item is created" in the newly created Sharepoint site's newly created list.  I know it's possible to create a flow from a flow definition - what would be a good way to have this flow also auto-create the new flow, but with the new flow's connections running as the original requester's credentials?  This way, when someone adds a new item to the Sharepoint list, the flow will send emails authenticated as the user's account who requested the project site?