That's an interesting aesthetic you've got going on there!
OK a few things wrong with it;
- You don't need to target the multisource twice. Remove the target from the item_suit.
- On the multisource, remove the value 'ajkarli', this isn't needed.
- You're func_button doesn't need a name for this so lets remove that too
- I'm not sure why you've got the global named 'ajkarli' for the func_button, this isn't needed so delete it.
- Unless you're planning on the doors moving at different times and/or having anything more trigger when you press the button, you don't need a multimanager, just have both doors named the same and have the button target them directly. Also in the current map the multimanager isn't actually setup to trigger anything anyway.
So what should now happen is;
Player steps into the trigger_once ==> trigger_once notifies the multisource ==> multisource (now in its on state) will allow the button to be pressed to activate the door.
Hope that helps