Xbox fan issue

Hi, my cousin has an Xbox Series S, and anytime he would move it the fan would make some pretty freaky noises.

I repair computers so I thought I can handle this. I also replaced the thermal paste, and ultimately found the fan to be really loose.

I ordered the replacement fan but when I tried to power it on to make sure I did everything correctly it didn’t work. It made the startup noise, fan would spin and then shut off. No error messages.

I removed a coat of thermal paste and was very careful when working around the CPU. I am scared I broke his Xbox now that there is no error codes or any message, and abruptly shutting off after a few seconds of the fan spinning.

I won’t know until tomorrow when the fan arrives and I power it up.

What should I do?