How many Arab League member states other than Palestine will diplomatically recognize the State of Israel as of 28 August 2021?
The Arab League consists of 22 member states (BBC, CNN, Arab League). As of 28 August 2020, three members other than Palestine--Egypt, Jordan, and recently the United Arab Emirates--diplomatically recognize Israel, though others could follow (France24, Economist, Whitehouse.gov). A suspended Arab League member diplomatically recognizing Israel would count (Guardian).
NOTE 2 September 2020: The question is framed "as of," so Egypt, Jordan, and the UAE would count toward resolution so long as they diplomatically recognize Israel as of 28 August 2021.
NOTE 14 December 2020: As of the date of this clarification (14 December 2020), for the purposes of this question, the October announcement on the normalization of relations between Sudan and Israel constitutes Sudan diplomatically recognizing the State of Israel.