The's a adjusting screw for the corrector plate on the side of the oscillator (top) plate. This is where the non-moving pawl is fixed to. You can adjust that so it's running correct. The problem here is that the pawl isn't having the correct presure agains the index wheel, so it it will jump some teeth or double index. When you turn the screw, you will have several points where the speed is faster than normal. Just a small adjustment should be enough.
Idealy, you should check the whole voltage range of the battery, 1.05 V to 1.65 V to make sure is doesn't double index when the battery is fresh or stop before the battery is depleted.
Take a look at the service manual:
https://watchmaker.hu/wp-content/uploads/2017/12/ESA Cal.209162 Repair Manual.pdf
You can use an old battery and a fresh battery in place of a variable power supply, just measure the voltage to make sure it's not below 1 V.
You'll need good light and a loupe with strong mangnification so you can observe the index wheel when you adjust. If this doesn't work, you need to re-adjust both pawls using the gauge that's on the top plate in place of the index wheel. There's a _very_ high risk of messing up the pawls so don't do this unless you have a microscope and very steady hands!
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