Rugging with cold engine

Hello , I have the following problem : I drive a Fiat Tempra (No , that’s not my problem !! That’s intention 😉 ) with a 1.6Ltr. engine 75 HP EZ : 6/94 and 155TKM . I bought the vehicle a few weeks ago from a dealer and from the beginning the vehicle stutters when it is cold . After I have started the engine and want to drive off , I have to give full water and drive with rotating tires , as the vehicle otherwise hops like a kangaroo . Once I have some K ilometer driven and the engine is reasonably warm, the problem is gone. The workshop has allegedly installed new software on the control unit ??? and not even noticed that the hose is torn from the engine ventilation and the engine attracts tons of unfiltered auxiliary air there. I changed the hose, but it still stutters. Spark plugs are new and ignition is electronic, so nix with distributor cap or runner change. Thanks for every tip Heiko