Officers immediately attended the property on Hospital Street in the All Saints area of Wolverhampton and found Mr Daraska's lifeless body.
When questioned by police, Puodziunas claimed that "voices" had told him to kill Mr Daraska and that while he was dead, his victim had "spoken" to him and told him to hand himself into police.
Prior to the hearing, the judge had ordered a full psychiatric assessment to be undertaken on Puodziunas.
This determined that he was unfit to stand trial due to mental ill health but had sufficient capacity to enter a plea in relation to the offence.
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Georgia Williams' parents say her death could have been prevented were it not for failings by the Police and Social Services.