Process Model is using Plugin, but throwing error "This Application uses MSGraph Plugin components and its throwing error by saying "User Does Not Have Rights to Perform this Operation"

Hey Swati Sharda, some of the plugin require the admin access.
You can enable this setting in the swim lane so that it will not throw any error.

I would recommend doing this at the node level rather than in the Swim Lane.

At node level, setting is this only. What shall I do? It is throwing error if the user is not in Admin Group of Application.

You need to set it to "Run as whoever designed this process model".