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I have no idea about FIBA rules, but I believe that you have designed the test scenario correctly and are asking the right questions. It seems that you need to probe not only the timing of the second foul, but maybe even what happens depending upon the type of this foul.
Therefore, you may also wish to write a situation in which the second foul is a technical foul (committed by either a player or a coach) and takes place: 1) prior to the administration of the FTs for the first foul; 2) during the admin of the FTs; 3) or following the completion of the FTs.
Under NFHS rules the FTs for the T would determine the need for an extra period in 1 and 2 and would be considered part of the fourth quarter, but would begin the extra period in 3. Only in case 3 would an extra period be played if any of the FTs for the T were successful.
I'm curious to learn if FIBA handles this differently.
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