Only really that Symond, spelled without a z is a surname, which derives from Simon.

https://www.behindthename.com/name/simon

It also sounds a bit like Zion and reminds me of the name Tremond. *shrug* Probably totally reaching.

I couldn't even make out what kind of shop it was.

I think it might have had a sun on its sign?

Ah, with a z is the Polish version of Simon.

https://en.wikipedia.org/wiki/Szymon

I'm assuming the s at the end just means that it belongs to the Szymon family, like, "Szymon's," but I don't remember if it had an apostrophe or not.

The name of the shop is 'Szymon's Famous Coffees' and it's where people working at Lucky7Insurance get their beverages from. The name of the shop was already readable on the cups in previous episodes.

And yeah, I'd say the 'z' is a clear reference to the zig-zaggy floor pattern of the waiting room, not unlike the Z on Tracey and Sam's cups.

Also the Szymon name kinda reminds me of Simon the Magician, but that's just speculation.

I am assuming this is where Coop got the cherry pie since Mike led him to it. I would love to see the scene of him picking it out. 
I thought it was meant to sound like Jazzman's the coffee shop in college campuses.
The emphasis on the Z. It can be said now that it is the same coffee shop that Tracey went to. 

To add to that you can see the glass case for pastry right after Mike disappears. One of my big wonders is when did Coop get the pie and why. I think Mike led coop there. I suspect there may have been a scene like in the Casino where Coop ends up pointing at the cherry pie. 

Reaching, but it's alliterative of Psimon's, and the prefix psi is used to something mental or paranormal (like psychic, psychological).

Yup, it's a lattice top pie or tart, or torte, of some sort, with rays like a child's drawing of a sun.

Szymon isn't an uncommon name in and around Sheffield, where a lot of Polish families located after the war.

It's a coffee shop. And the 'O' on the sign really looks like a pie to me. 😀

Now that's odd.  I posted after - and in response to - Frederico, yet my post appears first.

Sorry, I wanted to EDIT my post and ended up deleting it instead.

Before someone starts theorising that we live in two different timelines or dimensions.

How do you know we aren't in separate timelines and/or dimensions?

😉

I read a theory about how Mike can control dreams...similar to how he appears in Coop's dreams in season 1-2.

Therefore, it was Mike controlling the Mitchem brother's very specific dream and that cherry pie factor was also included by Mike.

Then all mike needs to do is appear at the Syzmon's bakery and direct dougie to choose the right pie, most likely how he saw the slot machines which were also controlled by Mike/red room.

So the question remains tho, why do Mike and the Arm want Dougie Coop to help the Mitchem's?

Some type of love/goodwill scenario I assume.

They don't want the doppleganger out. Coop needs to survive for Bad Coop to go back. Though I am wondering if Mike is the one on the device that said "so I can be with Bob again" so the intent may not be "good".

Ah so, Mike was just saving Dougie from assassination basically from the Mitchems.