If you don't mind cluttering the weapons menu, you can use a cannon or missile (with very low explosionScale--but not zero) as the trigger for the alarm. To be more precise, their ammo count. Attach them to the part, name them "Wing left" or "Tail", and if they get destroyed with the part, their ammo goes to 0. And that will trigger the alarm.
(You can use something like "clamp01(ammo("Tail")=0)" for the light's input (not the activationGroup))

For "part" in general you can make light work always and attach sort of shutter to part you're interested in.
So if part will be destroyed shutter will fall off and reveal light.

@ZeroRaven87 Exactly, And.....What's This Smell?.....Oh Yeah My Brian Is Burning Because you move the throttle forward but not above 0%

@MrCOPTY So the coding for the light works (unintentionally triggers when you move the throttle forward but not above 0% lol).
The coding for the Button does bot seem to work for me.

Engine part variable: (Trust: Eng1Thrust)
Input for button: Eng1Alarm
Variable: Eng1Alarm: (code)

I kept the Eng1Thrust part variable since your code still calls for it.

@ZeroRaven87 Work Only For Light, But For Button U Must Use This:

.
Button Input:

.
Eng1Alarm

.
Add A Variable:

.
Eng1Alarm : Fuel>0 & Throttle>0 & Eng1Thrust=0 ? 1: 0

@MrCOPTY ok so check me in case I’m misunderstanding this.

The “Fuel>0 & Throttle>0 & Eng1Thrust=0” goes into the input section of the button/light. This means when Thrust of ENG1 is 0 and the other 2 values are above 0, the light should light.

The Engine Output goes under the Part Variables heading Thrust as “Eng1Thrust” to match the variable in the input string, so when the engine is producing thrust, the output value is <0.

I’ve tried this and the button/light isn’t switching. Presently they are rectangular button labeled “ENG1 ALERT” and “ENG2 ALERT”

@ZeroRaven87 No, U Can Use This For Light
Fuel>0 & Throttle>0 & Eng1Thrust=0

@MrCOPTY I’m assuming that’s funky tree coding. Would I then set the input for the button/light to Eng1Thrust ?

Use This Code:
Fuel>0 & Throttle>0 & Eng1Thrust=0

And U Should Add Engine Output:
Thrust: Eng1Thrust

The Principle Of This Code Is That The Light Turn On When The Engine Throttle Is Greater Than 0 & Fuel Level Greater Than 0 (Engine Should Be On) And The Engine Off Even When He Should Be On.

U Can Do Same Thing For The 2nd Engine By Changing Eng1Thrust To Eng2Thrust, Hope This Work And Thank You.

@HuskyDynamics01 well that’s a shame. Seems like it would be something relatively easy to add to the game since it’s basically comparing the value of a part and triggering a function based on that.

Oh well. 🤷🏼‍♂️

There is unfortunately no way to read/output the damage or health of a part, no.