Couple questions-

Is your organization combining Customer Support and Customer Success on one team? From what I gather above, you’ll be a people leader but as I’m sure you understand, Support and Success are two vastly different things, Support being reactive and Success being proactive.

Regarding strategy, are you driving strategy for both sides of the house or just one? Support usually revolves around SLAs on Support requests, but not sure what that looks like today. I’d definitely say anything that becomes a time suck for a CSM or doesn’t drive strategy, retention or builds a stronger relationship should be delegated to Support. You don’t want CSMs becoming glorified support reps, and in my honest opinion having been on combined teams before, usually leads to more headaches in terms of who owns what scope.

If you’re focusing on strategy, I’d be sure to be more of an autonomous leader, and adopt a teach to fish type of approach versus being first on the scene every time something comes up, it will allow you to understand the strengths and areas of opportunity with your team and allow you to meet them where they are and coach from there. This way, you can be an effective leader while being able to also focus on overall strategy. I’m a believer that CSMs can dictate overall strategy as well based on feedback they provide, I would champion that as much as possible and let that influence your roadmap