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The woman had reportedly called 911 to report an assault late Saturday night.
The protesters tried to break through police barricades.
A spokesperson from the company said the competition was to "promote technical education."
Brown's family has reached a settlement with the city of Ferguson.
"I wanted everyone to see, that if I died in front of my daughter, everyone would know the truth."
Loehmann killed 12-year-old Tamir Rice in November 2014.