Thanks for coming back
Most times a stuck solenoid can be cleaned which is one of the few places that carb cleaner actually does a good job
Remember the symptoms of your failed solenoid as to date none of my customers who bought an Amazon cheapie have had one last longer than a single season
So if you did not win the parts lottery there is a good chance that the solenoid will fail again
If you have the old one then clean it out and keep it in reserve .
FWIW
I only use accredited, tested & warranted aftermarket parts bought through wholesalers who give me 12 months warranty.
There are lots of aftermarket parts suppliers who handle parts that have been tested & passed
The wholesale price of the solenoids from them are all north of $ 20 ( US )
So if you think the one you paid $ 13 is exactly the same quality as the one from the dealer then you also must believe that the Tooth Fairy & Santa Clause are real .