The Daily Wish task that gives you a gacha ticket requires you to have the three girls listed have their stats at the listed values.
For example if it says
Mary 86/95/110 that means you need to have Mary with 86 Happiness, 95 Hunger, and 110 Cleanliness all at the same time. If you do this then you mark her off the list of who you need for the Daily Wish task. Also note that the girls that are tasked for the Daily Wish will have their Needs meters marked with a line threshold beside a diamond to indicate what you need.
To finish the Daily Wish you need to get those Needs done for all 3 girls (each girl will be different) BUT you do not need to have all 3 girls at the same time. Once the girl met her requirements, she's check off the list and you can focus on the next one.
As a side note, girls that have rank requirements that need you to complete x amount of Daily Wishes are done quicker, as for that specifically it counts each individual girl as 1. So if you have one that needs 6 daily wishes, doing all 3 girls to do the wish for the day for the gacha ticket will give you 3/6 instead of 1/6.