Looks like a Ronda Harley 373 or 375 (date wheel) and they use the 395 battery cell. I love these little guys for they have a clonking sound when you push in the crown. First time I came across this movement I thought the movement was loose inside as it felt like it moved when you pushed in the crown.
Gauge the diameter of the receptacle and check up on the chart below, then see what thicknesses are available for that diameter.
(Be aware all these non-lithium batteries are all the same voltage of course, so size is the only thing you need to match)
The low price of batteries nowadays you could buy a number of different thickness batteries in your diameter range and suck it and see
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