NFHS Case Book, under Rule 7;
If A1 tips a ball before going OOB, he/she can return inbounds, secure the ball AND dribble.
If A1 controls the ball before going OOB (i.e. grabs it and throws it inbounds before falling OOB), he/she can return inbounds and secure the ball BUT CANNOT dribble.
(I don't have my case book with me right now, but I believe the case also allows for a player to control the ball - "save it" - go OOB - and then return and continue a dribble as long as they don't pick it up.)
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