My Switch Pro controller's Sync button on the back doesn't work

I dropped my controller from a table while I turned around and after that, the sync connection button (I don’t know what it’s called) suddenly broke out of place from inside the controller so when I push in the button (from the outside of the controller) it doesn’t hit anything, and doesn’t ‘activate’ the sync mode where you hold down the button to connect to other switch’s or devices and my temporary fix was to just connect it with the charging cable but now I want to just fix this issue. (Preferably a DIY fix because I don’t want to wait for it to ship back, I just want it fixed)