automatically apply a certain menu to all of a certain CPT?

I’m setting up a site with five of my own CPT, plus two set up by their own plugins. I know I can set my own CPT to support Simple Menus, but I do know that I want the exact same menu for all of my CPT (not the default). Is it possible for me to define the specific menu in my functions, where I’m already setting up the CPT? There are no categories or tags or anything like that to worry about.

Possibly along these same lines, can I do this for the CPT which are being created by other plugins? (One is Sermon Manager and one is The Events Calendar.)

I love this plugin, Ron–a lovely way to simplify navigational setup for unwieldy sites. Thank you!

https://www.ads-software.com/extend/plugins/genesis-simple-menus/