Both (necromancy and Experiments) are triggered in the same moment - u choose which one should be first.
If u choose necromancy then stack is:
1. Necromancy
2. Experiments
Resolve:
2. Experiments => unit is dead => discard
1. Necromancy => nothing, illegal target
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If u choose Experiments then stack is:
1. Experiments
2. Necromancy
Resolve:
2. Necromancy => unit goes to bottom of the deck
1. Experiments => nothing, illegal target
So, active player always choose