In this sentence, "take" means "approach or handle" the task in a deliberate and methodical way. Essentially, it implies "to do" something carefully and step by step, rather than rushing through it.

To take: this is the verb we often use when talking about ‘stairs’ or ‘elevator’. We also use ‘to take’ with transportation/ directions: If you choose to walk up the stairs, you could say ‘I’ll take the stairs’. ‘I take the bus to work everyday’ ‘Take the elevator to the 15th floor’ ‘Don’t take the car today, I need to drive to the airport’ ‘Take the 1st street on the right’