As long as what you’ve bought is 24 volt AC power supply, with 1 to 1.5 Amp rating, it should not matter. Be careful since a more common DC power supplies will not work.
https://i2.wp.com/blog.gogreensolar.com/wp-content/uploads/dcacvis1.gif?w=838
The Rachio will power ON with the DC supply, and even allow a zone to be turned ON, but without a period of zero crossing (whereas voltage is 0 volts), a zone will be unable to be turned off.
Even if Rachio could have been made to be compatible with a pure DC supply, DC voltage is not good for driving irrigation valves as solenoids within will heat up and quickly burn out.
@MDNZ was able to source a compatible supply from jaycar: