A new supervisor is often trying to solve several problems at once. Someone calls off. An employee is upset. A deadline is slipping. A senior leader wants an answer. The instinct is to move quickly, fill every gap, and clean up the immediate mess. Sometimes that is necessary. It cannot become the only way you lead.
Start by separating the urgent issue from the leadership issue. The urgent issue might be coverage for a shift, a missed client visit, or a customer waiting for an answer. Handle it. Then ask the leadership question: what expectation, skill, decision, or obstacle made this harder than it needed to be? That second question is where the team gets stronger instead of simply surviving another hard day.
For example, if two people are blaming each other for a missed handoff, resist the urge to decide who is right before you understand the work. Ask each person what they understood the plan to be, what information they had, and what would make the next handoff reliable. You can still address individual responsibility. You will also learn whether the system left too much open to interpretation.
This is the practical side of leadership: protect the work in front of you, then make the next version of that work clearer and more manageable for the people doing it.