Is it obligatory to alert those in charge of an Islamic institute whose transcriber made a mistake in writing "أعوذ بالله" (Aʿūdhu billāh - I seek refuge in Allah) as "أوذ بالله" (ʾŪdhu billāh) when explaining the rulings of tayammum, knowing that this error occurred in an important word from the words of prayer?

The described scenario is not an abomination that requires denunciation, as everyone knows it is a distortion, and seeking refuge (with Allah) should be done as appropriate. Correcting the error is good. You must abandon extremism and rigidity, for indeed, it leads to destruction. Seeking refuge (with Allah) is not among the obligations of prayer; rather, it is permissible for one who lacks both means of purification (water and soil for tayammum) to recite Al-Fatiha without seeking refuge.