How crushing stage!RO reacts if a random person approached them and asked something like “I see you’re very close to the MC! Maybe you happen to know if they are available? I have a crush on them.”
Leon (assuming war phase) would likely still be oblivious to his own crush, and hence doesn't feel the need to sabotage the other person's chances. He would confirm the mage's relationship status to them, though not without a healthy dose of teasing ("The mage? You sure are shooting your shot, aren't you?") But what's that strange throbbing in his heart he gets every time he doles out courtship advice?
Ilya (also assuming war phase) would gently advise the other person that the mage is under incredible duress as the cornerstone of Leon's rebellion--as such, they might not be in the right frame of mind to pursue a relationship. It would be a sound advice, and one that she genuinely believes in--but if there are ulterior motives to her giving it, well, who can tell?
Eli's priority is always the mage's happiness, first and foremost. They would honestly disclose the mage's relationship status and give advice on courting them as requested, all the while making the effort to woo the mage themselves.
F is unlikely to say anything to the other person, simply replying to their query with a stink eye before stalking away in a huff. They're a competitive person by nature, so they'll redouble their efforts in courting the mage (misguided though they might be). If the mage suddenly finds that the frequency of F's here's-a-gift-and-also-an-insult visits have suddenly increased, well, now you know why.
Yu will easily confess that they too have a crush on the mage, and that the other person can wait their turn--all the while implying that they're hellbent on making the mage like them back. They're rather confident in their chances, you see, so the other person shouldn't hold their breath.