Just basically Ommi gives the different pro heroes nicknames when she works with them or when she's around them.

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Hawks: *eating chicken*

Ommi: *walks past, getting something to drink* Hey, Papa Bird.

Hawks: *waves to her, swallowing his chicken* Hi, Baby Bird. 

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Endevor: *on patrol with Hawks*

Ommi: *joins them* Seems pretty quiet today, ey Flame Daddy? 

Hawks: *covers his mouth, trying to keep his laughter in* 

Endevor: ...Are you talking to me? 

Ommi: Yeah, who else has flames and is a daddy? *grins* 

Endevor: ...Just call me Endevor, not..."Flame Daddy" 

Hawks: *lets a chuckle out* Oh my god, that's great... 

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Mirko: *Had taken down a villain*

Ommi: *helped* Nice work, Mama Rabbit. 

Mirko: Thanks! Couldn't have done it without you, sweet cheeks! *pats her head*

Ommi: *chuckles gently* 

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Aizawa: *Was on patrol* 

Ommi: *Had passed Aizawa, also on patrol* Hey, Erase Daddy, how's it-

Aizawa: *lassos her* Call me "daddy" in any way again and I won't hesitate to pound you...

Ommi: *grins* Oh, pound ey?~ 

Aizawa: I am not afraid to hit a woman. Stop now or else. 

Ommi: *sighs* Alright, alright, I'll just call you scarf boy. 

Aizawa: You'll call me Erasurehead or Aizawa. Nothing else. 

Ommi: Jeez, such a buzz kill...

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Fat Gum: *went out for lunch* 

Kirishima, Tamaki, and Koy: *had gone with*

Hawks and Ommi: *in the same restaurant* 

Hawks: *sees Fat Gum* Hey there *waves to him* 

Fat Gum: Oh! Hey guys! *smiles happily* 

Kirishima: Whoa! Who would've guessed we would've seen Hawks! 

Koy: And Grapple Girl 
(That's Ommi's Hero name) 

Ommi: *chuckles* Didn't realize I'd be recognized. *looks at Fat Gum* So, how're internships going, huggable Marshmallow? 

Fat Gum: *laughs a bit* They're going great! I'm sure you remember Sun-Eater! 

Tamaki: *looks down nervously* H-hello...

Fat Gum: And two new guys, we have Red Riot and Ground Breaker! 

Kirishima: It's nice to meet you! *goes over and shakes her hand* 

Koy: *followed Kirishima* You two are a really good team, have you met Tokoyami? 

Hawks: Uh...

Ommi: Yeah, the one with Dark Shadow. 

Hawks: Yep, I knew the name was familiar, he's training right now, we're picking up some lunch, we're probably gonna get him something. 

Kirishima: That's so considerate! 

Ommi: Growing heroes need their sustenance, hopefully, Fat Gum feeds you guys too. *chuckles* 

Koy: ...That's kind of ru-

Fat Gum: Don't get upset, Ground Breaker, she just likes to joke around a bit! She's a good person! *laughs at her joke* 

Koy: Hm, alright. 

Ommi: Heh, just know the jokes that seem more hurtful are ones I have with my close friends, so know I care about that Marshmallow man. 

Kirishima: It's cool how close you guys are! 

Ommi: Yep *smiles happily* 

Fat Gum: Well, our food is ready, we should probably head out, see you guys!

Team Fat Gum: *leaves with the food* 

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Best Jeanist: *was on patrol with Bakugou* 

Bakugou: *growling, his hair combed down* 

Ommi: *on patrol by herself, sees the two* Hey there, Fashion Boy, who's this gentleman? 

Best Jeanist: Oh, hello, Grapple Girl, this is Katsuki Bakugou, he's doing an internship for me, and he's still picking out a name. 

Bakugou: *looks up at her* Tch, you're the 17th pro hero aren't ya who chose to be a stupid sidekick. 

Ommi: *chuckles* Yeah, but the best part about being both is I can choose when I want to be solo and when I want my Papa Bird around. It's not too bad actually. 

Bakugou: Heh, you expect anyone to take you seriously when you choose to serve the number 2 hero? 

Best Jeanist: Baku-

Ommi: Haha, I serve him? Please, we're basically unofficial partners, just waiting for him to realize how well we really work together. Besides, he serves me when we're off the clock~ 

Bakugou: Eh? What does that mean? 

Ommi: You'll find out one day, bye Jeany. *walks off* 

Best Jeanist: Her and her nicknames...

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That be all, might add some more later or something