I'm trying to find an ignition-activated wire in the front of the car that I can use to power some LED driving lights.

Could someone with a working car tell me if the wire to the engine bay inspection light is continuously "hot" or is it activated only when the ignition is on? That's just something the FSM wiring diagram doesn't tell you.

If you know of another ignition-activated wire in the engine bay, please let me know. There are bullet connectors for fog lamps on my harness, but the car never had those so I have no knowledge of how those might be wired in the absence of a switch.

Looks like constant hot by the diagram. It comes directly from the fuse block and has a ground. Not sure what you're working with or if it's together or not (why not just check with a test light or meter?) but if it's apart you can check continuity back to the fuse block, or if it has a fuse in place, check continuity back to the positive battery cable end.

Make it easy on yourself. Attach a ring lug to your wire and attach it to the alternator. Be sure to use an inline fuse to protect your wiring.