1. Routing as in "routing a task" or "routing a request": This refers to the process of directing a task or request to the appropriate person or team. In this case, the spelling is "routing".
2. Routing as in "team routing" or "routing for a team": This refers to the process of defining how tasks or requests are directed within a team, or how team members are allocated to tasks. In this case, the spelling is still "routing".
Example:
* "We need to improve our task routing process to ensure everyone gets their tasks."
* "The team has a specific routing system for handling customer inquiries."
In both these examples, the spelling "routing" is correct.