By Dan Weil Cathie Wood’s Ark Investment Management noted that privately held tech stocks are now falling just like publicly held ones. Star investor Cathie Wood, chief executive of Ark Investment Management, on Monday traded some familiar stocks and some less familiar ones. Among the more prominent stocks: Ark Innovation ETF (ARKK) – Get ARK Innovation ETF Report bought 62,877 shares of Coinbase (COIN) , the largest U.S. cryptocurrency exchange, with the shares valued at $12.7 million. (All valuations are as of Monday’s close.) Ark Next Generation Internet ETF (ARKW) – Get ARK Next Generation…