Harvey Weinstein’s defense team continued to push for a mistrial Wednesday as the former mogul faces rape and criminal sexual charges in Manhattan for a second time.

Thus far, all three motions for a mistrial have been denied by Judge Curtis Farber.

Miriam Haley, a former production assistant on Project Runway and one of the complaining witnesses in the case, has been on the stand Tuesday and Wednesday. The latest call for a mistrial came Wednesday afternoon as Haley, who alleges that Weinstein forced oral sex on her in 2006, testified about why she continued to stay in communication with the former mogul after the alleged incident, saying, “I had no idea there were other people.”

Arthur Aidala, Weinstein’s defense attorney, called for that statement to be stricken from the record and moved for a mistrial saying she had “contaminated the whole jury.” Farber struck the statement but denied the mistrial,...