Questions about Tecmate Optimate 1 Duo

Can anyone tell me whether the charger has a cable for the socket or whether it is a plug-in power supply? Both are shown in the pictures and I should have one with a cable.

What is the charging current of this charger? The description says 0.6A charging current on the one hand and maximum charging current 29A on the other. Which specification is correct? I would like to be able to charge a large stationary battery as quickly as possible when the sun is not shining. Can this charger charge at 29A? Thanks for the feedback. Kind regards and a pleasant start to the week to all.

Hello, what cables and connectors are supplied with this?