Using Type a Keystroke does not open Bartender Search via hotkey

Please execute this AppleScript:

tell application "Flux"
	launch
	activate
	delay 3
	tell application "System Events"
		activate
		set theTime to text returned of (display dialog "How long should F.lux remain activated?" with title "F.lux app" default answer "" buttons {"Cancel", "Start"} default button 2)
		delay theTime * 60
		tell application "Flux" to quit
	end tell
end tell

Test it with 1 = 1 minute.

Since I got problems with my palettes when executing such a time-based macro, I converted the AppleScript into an app.