Need help finding right starter relay for Kenmore fridge

[Packy50]

Model Number: 255.20502110
Brand: Sears Kenmore
Age: 1-5 years

Hi, I need help finding the right starter relay for my fridge. My electrician friend came with his ohm meter tool and said it was the starter relay. I thought it would be easier to find the right part online, but none of the replacement parts I can find look quite like the one I took off. Mine has one prong on the corner marker 2. Other ones don’t seem to line up.

If it helps, on the back of the fridge, it states: Amps-1.3 Volts-115 Hertz-60

Most importantly, my question is, does it matter if the replacement starter relay I buy looks physically different from the one I removed?

Thanks,
Packy

[Packy50]

And in case it’s not obvious, I’m trying not to embarrass myself by asking him this. He was nice enough to come over and check it, I told him I should be able to order the part by myself

[Packy50]

To clarify what I meant by the parts looking different: