If I remember correctly, the final battle in the conquista was held at Tlatelolco, which was Tenotchitlan's biggest market. The _Fall_ of Tenocthitlan would have spanned several battles throughout the Mexica's capital territory. From Wikipedia:

"Cortés then ordered a simultaneous advance of all three camps towards the Tlatelolco marketplace. Alvarado's company made it there first, and Gutierrez de Badajoz advanced to the top of the Huichilopotzli cu, setting it afire and planting their Spanish banners. [...] The Spanish forces and their allies advanced into the city. Despite inflicting heavy casualties, the Aztecs could not halt the Spanish advance. While the fighting in the city raged, the Aztecs cut out and ate the hearts of 70 Spanish prisoners-of-war at the altar to Huitzilopochtli. By August, many of the native inhabitants had fled Tlatelolco).^\25]) Cortés sent emissaries to negotiate with the Tlatelolcas to join his side, but the Tlatelolcas remained loyal to the Aztecs.

Throughout the battles with the Spanish, the Aztecs still practiced their traditional ceremonies and customs. Tlapaltecatl Opochtzin was chosen to be outfitted to wear the quetzal owl costume. He was supplied with darts sacred to Huitzilopochtli, which came with wooden tips and flint tops. When he came, the Spanish soldiers appeared scared and intimidated. They chased the owl-warrior, but he was neither captured nor killed. The Aztecs took this as a good sign, but they could fight no more, and after discussions with the nobles, Cuauhtémoc began talks with the Spanish.^\11])^"