As for the narration reported by Muhammad ibn Ali ibn Mahbub from al-‘Abbas, from Abu Hammam, from Imam al-Ridha عليه السلام:
Imam عليه السلام said: "One performs tayammum for every prayer until water is found."
Ali Akbar al-Ghaffari
Tahdhīb al-Aḥkām fī Sharḥ al-Muqniʿah, vol. 1, p. 212