Pre-translation preferring AT over Context Match

I am using Trados Studio 2021 SR2.

I have created a TM that covers my translateble project. However, when I add this TM for pre-translation, the result prefers automated translation results over context match results. Both options show up when I click the segments, however, as it is a rather big project, I would not switch to CM one by one. I have disabled PerfectMatch, but it does not help and I have also tried to overwrite segments using Batch Tasks, but the result is the same.

Please help me, how could I set it up to prefer CM over AT either at pre-translation or afterwards, changing it in all segments at once? Thank you!

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