Not to beat a dead horse too much, but with Gyn showing up in the prologue, it appears that you're trying to show her as a potential LI in the future. I'm also expecting that you want to show something with Carla in the future.
Honestly, I think the easiest way to rewrite this opening to make it slightly less divisive with the crowd it looks like you're courting:
1) story opens the same way, except every time he closes his eyes we get a flash of Carla and him in bed. (assuming we want the idea of Carla's kid is the MCs from the survey) If you don't want new renders, we can work around this. Instead of the MC saying "It's just that it's been awhile" with no further thoughts, insert a follow on thought before the nurse says "why" in the line of 'if you can call 3 months a while' or the like. Establish a timeline where it's a possible that Carla's kid is yours. (again, if you want this route) I also don't understand this "vow of chastity" thing, like wtf?
2) When you first meet Paul and Carla come in part way through an argument. Carla wants Paul to get this job, so he can concentrate on her and "their" kid, while he doesn't want it, but is trying to do better. Carla realizes Paul is a serial cheater, but sees him as her only option and is trying to make this relationship work.(out of guilt for her cheating?) You don't have to do too many new renders, this can be done purely though dialogue. Paul is happy to see you, Carla is more reticent. (Paul: "Hey man, great to see you! What do you think of this job? Seems kinda hush-hush for something"; Carla: "Hi." Paul: "I was just telling Carla, I'm not sure about how this job will work for us, they want us to be whisked away to nowhere for a year!?" Carla: "Paul, if you would just take the job, we'd be able to spend good time together. The...three... of us.") Make Paul somebody the player can hate without making him outright rude to the MC. Hell, make Paul like the MC, but simulataneously make him rude to anybody the player can care about, this will be a better way to make him a future antagonist without trying to explain why the MC hasn't kicked him out yet.
3) When Paul leaves Carla and the MC alone, don't make Carla try and care about the MC. She's distant, trying to work on her (fracturing?) relationship with Paul. Maybe just "it's good to see you're doing well" and then she walks away. The whole argument between the two is unnecessary and will prejudice your audience against Carla early on.
4) During the presentation, instead of MC concentration on how Paul knocked up Carla, have the MC wondering if he's the father (if he and Carla slept together 3 months ago) OR make him wonder about how Paul seems to be here just because Carla wants him to be. Humanize Paul, make it so that the MC doesn't see Paul as The Chad Who Took "His" Girl, but as his friend who got lucky. We want Paul to stick around.
5) Make the MC think about the project. "Oh boy, with that kind of demands, this is going to need a team of people to finish", "Hmm, they want it done by the hundredth anniversary, how much time is that?", "Miss F, she's not married?", "Discrete build? What does that even mean?", "What, alone!? I can't do this kind of thing by myself! This is madness!" (at this point, show Paul looking at the girl behind him. "Sigh, Paul's straying eye is going to get them in trouble at some point... but can I really judge?")
6) Some questions would be worth having, but have Kim shut down every line of inquiry with "you'll find out once you accept the project", and then continue on as if nobody as questions. Make her brusque, potentially unreasonable, you want her to be a stern authority figure. Maybe also have Kim accentuate the "he" in every statement, so it's clear that she and the Fjord group are looking for a Male builder. Maybe have a few shots of some female builders getting angry at this realization.
7) Cut out the argument with Carla, maybe a hissed conversation. "It was a mistake $MC, I'm with Paul, things will work out. They have to." Maybe include a line that shows that she knows he's a philanderer, "Paul's been really supportive lately, hasn't been out late with... the guys once since he found out about the little one."
8) The Bathroom scene needs to be reworked, I don't think you can save this sequence with new dialogue alone. Either replace Gyn with random background girl #3 if you want to have Gyn be an LI later on, OR do something like this:
(MC washing his hands, looking away from the door Paul and Gyn enter, they're all over each other, kissing heavily)
MC: (still washing hands) "C'mon, can you guys see this is a toilet?"
(Paul and Gyn stop, shocked)
MC: "Seriously make sure it's empty before you do this, it's just decent" (Goes to dry hands, sees Paul)
MC: "Oh."
Paul: "Oh, indeed."
Gyn: (Looking between Paul and MC) "You know each other?"
MC and Paul: "yea.." (awkwardly look around)
Gyn: (Looks up at ceiling) "And I'm guessing no kinky threesome for me... I'm out." (Gyn walks out)
Paul: "Look, $MC, this was a bet, a stupid bet... Carla wanted me to..." (Looks away, embarassed)
MC: (similarly looks away) "I don't need to know, man. Seriously, I don't. You said Carla knew?"
Paul: "Yes!"
MC: "Okay... just... treat her right, ya know? You got a kid on the way, big deal"
Paul: "Yea... anyway... be seeing you...buddy...." (Walks to a stall)
MC: "Yea... be seeing you... buddy...." (Walks out of bathroom)
Boom, we've set the scene for Paul to be a cheater without an explicit scene, we've allowed an early introduction to Gyn in what I think is a fairly safe way, other's may disagree, but whatever. And, we've allowed the Player to wonder if Carla actually wanted this or not. Plus, this lets us keep the scene with the MC trying to talk to Carla on her own later.
9) When they announce that the job selection is postponed, it's Carla who gets upset, not Paul. She demands they go talk to somebody while Paul is saying that they should leave. As they leave, Paul can say: "Good to see you again, don't be such a stranger! Don't let it be another 3 months again, hey?" Carla just curtly nods as they leave, no real interaction with MC.
10) The scene where MC meets the team can stay mostly the same, but since we're cutting out the Vow of Chastity, we can cut that out.
11) As Kim, Thea and MC look through the plans, maybe have MC ask about the site. "Do you already have a foundation laid?" "What kind of on-site tooling is available?" Just show that MC is more engaged and active than a "we talked about the plans" line. Maybe have Kim comment when her daughter slams the door. "Children, what can you do? She turned 18 a month ago and has been moody since. I wish her Dad was able to talk some sense into her." also maybe give Thea more of a personality than "likes sneakers"
12) As MC is leaving, make it clear its an involuntary turn of the head as he looks at Kim's daughter. "Damn, she's cute... shouldn't be looking... why am I looking?!" Kim's daughter smiles at him.
13) Cut out the weird fantasy here, include the bit where Thea is obviously trying to get more out of him, but instead of the MC being denser than a brick, have him shoot her down. "Thea, at this point you're basically my boss. This isn't a good idea."
I think with most of these changes, all but 8 being really just dialogue changes, you'll improve the story and set it up for more people to enjoy as a Harem tale once Chapter 2 drops.
