Look, I know it'll probably look ugly if you put the final Tuesday schedule on the last day of week 2 instead of the start of week 1 of the new set of Urgent Quests, but it's pretty stress inducing when there's a prize for completing one of them on S rank a certain number of times and players won't see that day's schedule until after the day is over when the new schedule comes out. So please on the next schedule of Mission Quests, you'll add in the final Tuesday schedule before maintenance and not on the day after.
Here's my proof: https://pso2.com/news/urgent-quests in the Urgent Quest Schedule list for July 2020 Part 2 you'll see the day it was posted on 7-22 and when you click on it https://pso2.com/news/urgent-quests/urgentquestschedule0722 you'll see that Tuesday was 7-21 with its schedule was listed here as well, basically showing that by the time anyone see Tuesday's schedule it'll be too late.
I think a cleaner way to do it is to make Wednesday the first day and Tuesday the final day of Week 1 and 2 schedules rather than Tuesday be the first day and Monday be the last day of those Weeks.