To add to this, you can also use the switch to try and get more days with something you kinda want, and time your ticket use.
i.e.
On a day you don't want the special, or what it switches to for you, just use tickets to avoid being capped.
Then on the next day if you want the special or what you switch it to you'll start with 3 tickets and generate 4 over the day for 7 tickets. Alternatively if you still don't then you use up your generated 4 for the day and push it to the next day again.
The day after you've dumped on a special you'll start with zero tickets and basically only play 1 game that day to build up for the next time you do have interest in the special again.
I'm not sure it's worth focusing on such a strategy too hard, as the main prize and possibly a 2nd one of it seems like the more important focus for a new event with nothing all that special for daily specials (i.e. Log Cabins and Menageries aren't even that good for a developed city - so you're basically just waiting for sentinel outposts). But if you want to optimize the event moreso, the option's there