This will resolve to the next person (including Petr Fiala, the current PM) that:

a) is appointed as prime minister by the president and

b) forms a cabinet that passes a confidence vote in the parliament

Regular elections are scheduled for autumn 2025 - those automatically force a new PM to be appointed and ask for confidence within 30 days of appointment. This question will also resolve if a new appointment is made earlier e.g. due to snap elections or the current PM resigning.

The close date will be extended until a new PM passes confidence vote.

See also