I'm flying international with the family was need some info about the admirals club

I'm traveling with the family and its the first time we're taking children flying on American with us and I'm trying to plan for some moderate layover times and if the lounge is a viable option.

So lets start with my status: Platinum Pro

My tickets are for 3 of us, all on the same booking in Basic Economy

I have (2x) 3hr layovers and I was thinking about going to the lounge, I don't have a membership and have never used the Admirals lounge, I used to Fly Delta and they were pretty relaxed with their policies when it came to children and even extra adult guests when i was traveling internationally.

I thought i read that with Platinum Pro you get access for international flights, is this true?

If so, does that include everyone I'm traveling with?

If not, is it just $79 for the 3 of us or is it $79 x 3?