The Suns traded for the rights to the 10th pick in the draft with the 76ers. The 76ers drafted the player the Suns wanted in Mikal Bridges. Now we can get into why the 76ers made the trade but I'm not sure that's necessary.
We know why... Zhaire Smith would be available at #16 and they coveted that unprotected Miami pick.
I'm sure the 76ers would have happily drafted whoever the Suns wanted at #10... even Shai.
That's the thing though, the Suns did not tell the Sixers who to pick. The Sixers wanted to draft Bridges for themselves and made that decision before every speaking with the Suns. The Suns wanted a higher pick to select Bridges. Since Philadelphia also liked him, it looked like there was no deal for the Suns to make because the player they wanted was taken and there was no way to get him. They told Philly to keep them in mind if they would be interested in trading Bridges for any reason. When the Suns got on the clock at #16 they planned on using that pick for themselves until Philadelphia made the offer of Bridges if they used that pick to Zhaire Smith for them and also sent them the Heat pick. Since that was the player the Suns wanted anyway, they jumped on it. The Sixers had no intention of trading Bridges when they selected him. That pick was used for them.
What you seem to be saying though is the Suns told them to select Bridges, which isn't what happened. That would have been like the Suns picking Ayton all along because that's who they wanted to take but getting a call by say Cleveland at #7 and the Cavs said "We'll give you Love, George Hill, and select whoever you want at #7 for the rights to Ayton" and the Suns agreed to it. The Suns drafted Ayton for themselves and had no intention of trading him but were made an offer that made them decide to go in a different direction. The Cavs couldn't have selected someone else with the #1 pick, they wanted Ayton specifically. The Cav's didn't have the chance to pick Bamba instead.
That's how it seems you're saying the Suns got Bridges, with the Suns being the Cav's in that scenario and Philly would have played the Suns role in that scenario also.
The only pick made for another team was the Suns drafting Smith for the Sixers because that's when the trade was proposed, when the Suns were on the clock at #16.