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Don't agree at all with this answer. It could also be "held an employment". It is firm evidence enough if you have an unbefristet contract, without Probezeit . Bouncing jobs has no significance, you do not speak for the German state. And the application date is not October 15, you can apply even today if you wanted to! But it wont be processed before October 15.
Thanks for upvoting and accepting the answer ;). The date you start working is written on the contract. You can have a contract starting the next day after your Masters completion, for example.