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Locate the transmission ID tag, should be one on each side on the axel housings , take photos if you must & PRINT THEM OUT .
Do the same for the mowers ID plate
Print it as well
Write down exactly what is happening
When you have all the information together ring Mulligans tell them what you want and ask them what they can supply you.
IF you have the information in front of you so you can answer them strait away they are (or have been for me ) very very helpful to the point of you can use this different transmission if you take the control lever off & fit it over ( some push forward some pull forward ) .
IF you make them wait all the time while you scroll through the mass of photos on your phone then try to enlarge it , go off into a different app etc and waste their time you will get a polite "sorry we can not help you ", remember their time is billed out so is valuable to them .
Just about every supplier will be very hepful if you can answer their question quickly so they can work out exactly what you have and establish what you need quickly.