Initially,you had both a scorer's error and a procedural error.After being informed of the (wrong) remaining time-outs,you should only inform the team that is out of TO's,not the team that has one left(2-11-6 in rulebook).The scorer should also have notified you immediately when a team took it's last time-out,not at the end of a quarter.I'm a little surprised that each team didn't know how many TO's they had left,and didn't complain.This is not a correctable error under rule 2-10-1,but I think you can straighten it out using casebook example 2-11-5.The ruling in that states that in case of an inadvertent scorer's mistake,you don't penalize a team that is not responsible.This play is somewhat similar.Therefore,you can deny the TO,straighten out the scorebook without a T,and get 'er going again.I think that covers the spirit and intent of the rules.
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