A question on Bitcoin Staking

I have a question on the Bitcoin staking part. I read through the doc, there’s the saying "We introduce an additional signing round after the base consensus protocol, called the finality round. A block is considered finalized only if it receives EOTS signatures from over 2/3 of the bitcoin stake. All safety violations of the consensus can be reduced to double signing in this round. If there is a safety violation in this modified protocol, then more than 1/3 of the bitcoin stake has signed two blocks at the same height using EOTS. This leads to the extraction of the secret keys of those stakers. ". What about if a staker signs on a wrong block on the POS chain, without signing the finality round, will the staker be slashed? If yes, how?

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