The company is not so much about doing the carpentry, etc. It's about the recruitment of people in those fields.
So the name should preferably be connected to recruitment. But it doesn't immediately have to show what the company does cause it's not your every day recruitment business.
Logico would be a good name though if it was just a carpentry business. I was surprised to find the domain undeveloped. Would be a huge plus if the domain for the business name is still available
So, they just recruit and supply experts in the field of carpentry, construction, etc. etc.