Such investigates

[Oldschoolmtgnoob]

Would {confront the unknown} see the extra clue {erdwal illuminator} gets you?

[Remillo]

No.  Your extra investigation trigger can't resolve until the current object on the stack that is causing the first investigation finishes resolving.  This is because it's a trigger and not a replacement.  If it said "If you would investigate for the first time each turn, investigate twice instead", then we'd have some awesome synergy. But we don't.