Show info or put it into the detail?

I had a meeting this week with the stakeholders involved in a management projects app. This is the way they show the information:

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My discussion was this: I think they are showing too much info at an only glance, and they could put some of them into the detail of each card. But they say they had my proposal at the beginning of the project, and after a few usings, they started to have the feeling that it was to "heavy" to use it because they had to do one more click to see this info, and they wanted to avoid this click showing the info in the same level that the card.

Then, the big question is: is better to avoid the click and show all the info in the card, giving cognitive load to the user, or add a click and show this info into the card?

Thanks and regards, Alejandro.