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A defendant's right to discovery is not initiated until formal charges have been filed. The prosecution is under no obligation to provide discovery until the rules demand it. If the case is indicted on Friday then your lawyers can file immediate discovery motions and hopefully secure the appropriate test next week. If the test is untimely and was neglected by the prosecution, then your attorneys may use that fact in front of a jury to support reasonable doubt.
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The attorneys can use this information to convince the state to drop the charges before trial. They may also attempt a motion to dismiss but these are rarely granted and usually must relate to a technical deficiency in the indictment. The only other step will be a trial.