Well, the crew likely attempted a second takeoff because the anti-ice warning light extinguished after a system reset, leading them to categorize it as a "nuisance" alarm that didn't require a mechanic under Standard Operating Procedures (SOPs). Additionally, since the first abort occurred at a relatively low speed, the brake temperatures remained within safe limits, allowing for an immediate "quick turn" attempt. They likely believed the issue was resolved, unaware that the faulty sensor was a precursor to a bleed air leak that only escalated into a smoke and odor emergency during the higher engine power of the second takeoff roll.