What is the ruling for a Mujtahid (independent jurist) who begins prayer based on their Ijtihad (independent reasoning) and then realizes they erred in the direction of prayer (Qibla)?

Primary text

The Mujtahid must continue the prayer based on what they have already completed, as it is more appropriate to rely on their own subsequent Ijtihad rather than the Ijtihad of another. If the Mujtahid then turns toward the correct direction, their prayer is invalidated. However, if a reliable informant, certain of the error, informs the praying person, they must return to the correct direction. If the informant relies on their own Ijtihad, no return is required, adhering to the principle established.