Both Fate Core and Fate Accelerated Edition have rules by which one player makes a roll and the others assist him without passing him free invocations or spending Fate points.
In FAE this is called "Getting Help," and it's clear that you give up your action in order to grant the bonus to another character.
When an ally helps you, they give up their action for the exchange and describe how they’re providing the help; you get a +1 to your roll for each ally that helps this way. Usually only one or two people can help this way before they start getting in each other’s way; the GM decides how many people can help at once.
- FAE 17
In Core it's called "Teamwork," and it doesn't mention giving up your action--though it does have a slightly more rigorous requirement to be able to grant the bonus.
When you combine skills, figure out who has the highest skill level among the participants. Each other participant who has at least an Average (+1) in the same skill adds a +1 to the highest person’s skill level, and then only the lead character rolls. [...]
If you fail a roll to combine skills, all of the participants share in the potential costs--whatever complication affects one character affects all of them, or everyone has to take consequences. Alternatively, you can impose a cost that affects all the characters the same.
- FC 174
Fate Core also mentions that the players can just stack free invocations with Create Advantage and pass all the tags to the character making the roll.
So, here's my question:
Does giving someone a bonus using the Teamwork rule require that you give up your action, the way Getting Help does? Why or why not?