PoE related uestion

Greetings,
I cant figure out the following answer to the question. I would love someone clear that up for me:
I have one MT router: RB760iGS FW 6.45.1 (also known as hEX S).
I also have x2 rb962uigs-5hact2hnt hap ac
I am using CAPsMAN to manage the WiFi.
I am about to deply.
I want to use the Router MT Poe out → wifi devices PoE in.
Question:
do the 2 models support PoE gigabit data transfer? or will I be reduced to 100?
I would like to keep a high data transfer rate.
On a side note, I am not sure the effective rb962uigs-5hact2hnt hap ac wifi transfer rate. Would it be making sense to have a gigabit wired connection?
Thanks for your feedback
Kattivius

Sorry, maybe I did not post the correct question:
Question:
would POE out to POE in maintain a gigabit transfer rate?
Than you
regards
kattivius

Yes.

thank you.
:smiley: