i read the web novel (i am still currently reading it, although i am almost close to finishing it) so i'll add a few details that were in it so spoilers.
what happened at chapter 31 and why mielle got embarrassed was because asher had asked her as if he was in disbelief that she was really mielle, and i'll quote him "are you really (lady) mielle?" which she felt humiliated because of the questions that he had asked and then he left after that with i think a cold disappointing gaze. mielle went home at a very late hour this is the reason why oscar had to accompany her home.
chapter 33 was when asher saw aria at a cafe (which i forgot the name, but annie was the one who suggested that they should go there.), he and aria talked for a while and he also had mentioned that he knows aria's secret (dw, it's not really a secret that we don't know) and i think he also approached aria to confirm that her name wasn't mielle, while this was also the time where he invited her to the meeting that she was going to attend at chapter 35.
the maid that was sent to aria in what you believed was chapter 34, her name is berry. emma was the one who sent her and the reason why aria made her do all the work was because in her previous life berry was the one who confessed aria's sins despite the fact that she was also one of the few maids who told her to bully mielle.
at chapter 35, the topic of the meeting was about how the "crown prince" should handle the casino, they were most likely debating on what they should do but in the end, they went with aria's suggestion, despite the fact that they (the crown prince's men) were a little bit hesitant of her idea at first (i think asher liked aria's suggestion, though i can't remember it quite clearly).
no problem!! i wrote my reply before i had even checked out the raws so there were some details that i haven't addressed in my previous reply owo (as i only relied on your post and gave out a few details).
but considering that the chapters 31-35 of the manhwa were chapters 70ish - 80ish in the web novel. it would be hard to recall all of them as i am already at chapter 226 lolol and the story officially ends at chapter 263 i think? plus an extra story that's about 25 chapters long. ahhh >w<
it would be a shame to stop now that i am close to finishing it lololol (๑•ㅂ•)و✧, and the chapters were actually good as they have kept me onto the edge of my seat for the most part, and i seriously don't have the patience to wait for about a year and a half or maybe two years or more for the manhwa because the plot is way too intriguing for me to wait that loooong.

I'm warning you this might become a huge spoilers... So please don't read it if you don't want any spoilers.
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So... I just skimmed the raws , i didn't really fully understand what they really said (since it's in korean) Sorry if some of this is not accurate cause this just how I understand it but here goes.
Chapter 31
The crown prince was wondering why She isn't the Mielle he knew, so he left the party . Mielle got embarassed even lady iris i think. Mielle cried and was escorted by Oscar and when they went home. Aria felt like she was betrayed. During the night, she saw oscar and she used the hourglass.
Chapter 33!
The misunderstanding that made me stressed so much has finally been solved 'cause The crown prince met Aria again. Tho I don't think if it was in their residence but i think He finally knew her name.
Chapter 34?? I think?
Another maid was sent by Mielle(most probably). Looking back at Aria's past she was one of the contributors at Aria's downfall. I love how Jessie and Annie was so well dressed and different unlike other maids. Then Aria made the work very hard for that maid while Jessie and Annie just stands there watching the maid suffer. XD Every tea she brewed was declined by Aria and then the maid backout angrily XD
Chapter 35
Aria and Asher met again! She's also with Rain and other members of the crown prince. They held a meeting tho I don't know what they're talking about.
That's it XD Sorry again if I spoiled you but I warned you XD