Question about dividend payouts and share price of REITS

Greetings,

I know for dividend stocks, a dividend payout also decreases the NAV by the equivalent amount; for example, if a stock worth 100 dollars pays out a dividend of 10 dollars, the stock will now be worth 90 dollars. Do REITS work like this as well? How is O btw, I have heard it was the best REIT.