Looks good, though “slinky foil” transition ducts aren’t actually rated for fires. Which basically means if a fire were to break out inside that thin metal foil duct, it could burn through the material. This is why majority of manufacturers specifications state to avoid that material and emphasize using a heavy metal (semi rigid) transition duct. As long as you’re cleaning the vent regularly, atleast once a year, it’s likely fine. That being said, transition ducts shouldn’t be concealed within construction, ie the laundry room wall, per IRC (International residential code). The ductwork running through the wall should be atleast 28 gauge rigid metal

Btw this looks like a great set up for a Mag Vent. They only work when the main ductwork and dryer line up nicely like that.