Close Steam then reopen it?
At the top of the Steam window, click the “Steam” menu and choose “Exit”. Then restart Steam with the associated icon. If you do not have the icon:
Go to:
If in a 32-bit Windows, C:\Program Files\Steam and run Steam.exe
If in a 64-bit Windows, C:\Program Files (x86)\Steam and run Steam.exe
Once you’re back into Steam, you should see Black Mesa in the list of installed games. Double click to run it like you would any other game in Steam.