Changing regular momentary switch to a motion detector in staircase timer circuit

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I have a classic staircase timer circuit ("TC") where any of the momentary switches will trigger the timer to power all the bulbs. Now I want to replace one of the "T" switches with a motion detector (detector). However, the detector has three terminals (see below)

where L is the input voltage and A the output voltage.

TC's 4 goes to detector's L though I'm not sure whether I should simply connect detector's A to TC's N and leave detector's N unconnected or should I first short detector's A and N and then connect them together to TC's N.