Same custom field updated from 2 CPT

Hi guys, i’m new to Pods after years of ACF. First thank you for that so useful and intelligent plugin ??

Here’s what i’m trying to achieve. I didn’t find my answers, i know i’m missing something, and i’m pretty sure it’s simple.

I create a CPT “Sports”, each post is a sport (basket ball, soccer etc) with some custom fields like How to practice, Rules of the game, Gallery, Clubs…

1/ First, I’d like to add a group of fields “Coach” with name, email and phone number

Can i do that without adding a third party plugin ?

Than, i have a regular WP page call ” All coaches” where i want to show all coaches contacts (name email and phone), listed alphabetically with the SPORT name, NOT the coach name.

2/ Is that better to do it with a shortcode into a wp page, or create a template especially for this page and use the {@name-of-field} way?

Finally, (and this is the tricky part who’s driving me crazy those last few days) for the convenient of my client, i’d like that ??Coach?? group of fields to be a CPT as well, so they’re all in the same place in the admin menu listed on Coaches item, and my client can UPDATE the Coach informations from both each CPT Sport, or each CPT Coach..

3/ Can i make a group of fields being a CPT of is own ?
Am i missing something, or is that impossible to do, and my client will just have to do it in the Sport post?

Am i clear enough?
Thank you guys for helping me ..