[HELP] Adding diode to protect MOSFET

Hello, I will be controlling a cartridge heater-12VDC, 40W (this kind) using this type of MOSFET to maintain a desired temperature using Arduino UNO. I am just thinking, if this heater is inductive, I also should add a diode to protect MOSFET. But I am wondering- how to check whether my heater cartridge is inductive or not, (i.e.) whether I really need to add a doide or not?

If I have to add, then how? Please help me. I am very new in this area. Thank you very much

The amount of inductance in the heater element will be negligible so can be ignored.

The mosfet has its own protection diode as well.

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