definitely talk to the sm at your new store! i still had to apply but i was in development to be an ssv from about my 4 month mark w/ the company, so by the time i got to 6-7 i was good to go, super confident, and ready to be promoted because i had communicated my intent with the sm 😎 good luck!!

Heyoo!
I think that you should go for it and ask! It doesn't hurt at all, and that makes them aware of your intent to move up within the company.
I think I became a trainer about 6ish months in, and had shown my intent to move up around that time, and that's also when i started unofficial training for becoming a shift. So by the time I became a shift at about a year and 10 months in- I was like let's goooo (but anxiously lmao)

I think you said you are a trainer right?? That's good! It's not always necessary, but most of the districts I've work in, you have to be a trainer before becoming a shift. There are some exceptions though. I don't think you have to work 6 months as a barista before moving up if you're over 18.

If anything, my advice to you would be not get discouraged if you don't get the results you are hoping for right away. I applied for shift positions twice, and got neither and my third, I didn't even officially apply for before I got it. It was just open communication with the manager at that store and I transferred. It really depends on who you will be talking/working with.
And the other piece of advice is if you want to work your way up, get out of the headspace of being fastest on bar, obsessing over times, getting everything done by yourself to get the team in a good place, etc. There isn't anything wrong with that AT ALL. So please don't get me wrong- but once you move up, those things are no longer your priority.

You're leading the team, and times do still matter, tasks still matter, but I think it would be really good to make sure you're learning how to coach in the moment (and out of), making sure the TEAM is doing tasks and cleaning, the TEAM is carrying the times in the morning and everyone is working together so things go smoothly, all those good things, because it's not just you anymore that you worry about. It's you supporting everyone else, and not just doing everything yourself but making sure your team is set up well to the best of your abilities, so that they can have a smooth shift.. (: and making sure you're OK with the pressure of things potentially coming back on you, how you will deal with those situations and understanding that responsibility, etc.
Just some things to think on.(:

Best of luck to you!!