You can grant a timeout any time it is requested during a dead ball. When ball is live, only the team that has player control of the ball can have the TO (if either team has player control!). Remember that ball becomes live when handed to a free throw shooter or an inbounder, or, after a made shot, when the inbounding team has ball behind baseline. So Team B can have the TO before the FT shooter for A has received the ball for either (or both) FTs or before anyone for A has received the ball to inbound it. A can have the TO at anytime in this scenario, even when FT shooter has ball.
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