You will get garbage proposals…
to get 13OA it would be someone either on ELC or ELC just ended, or they finished year 1 of a 6+ yr contract signed after an ELC ended.
The player would have to be U25 and 4+ yrs of team control Who would be a 2/3 D. And actually shoots right, not just plays on right side.
What makes a deal on these terms tricky is that the player you describe is worth a hell of a lot more than a 13th overall pick. A player who has arrived, cracked a team's top 2/3, shoots right and plays RD, and who is also young, cost controlled, and talented enough to meet the criteria is incredibly valuable.
Top-15 picks are very valuable, until you try trading them for excellent young players with multiple years left before they reach UFA status.
The young NHL player who isn't a gamble, has already cracked the lineup and advanced to become a top-six F/top-four D/a starter is always worth more than the high pick (but outside the top 10), in that range that might not end up yielding an NHL player at all.
It would be cloudier if the pick was top four in a year like this, though of course Buffalo wouldn't be thinking of moving it. The 13th pick isn't going to cut it. It's in that mushy middle... valuable enough to be worth more than token offers of a vet plus a pick, but not so clearly going to yield a surefire star, and not for another 3-5 years, that it's worth giving up someone who is young and good
right now.
Teams use their picks like this at the draft, picks they would certainly have considered available. They're hard to move for what you think they should be worth in trade.