By Dan Weil The Ark Venture Fund would invest in private companies and limit withdrawals. Its minimum investment: $1,000. Star investor Cathie Wood’s Ark Investment Management has filed for a new fund that would include private companies and would limit when investors can exit the fund. It’s called Ark Venture Fund, and it would require a minimum investment of $1,000, according to the filing, Bloomberg reports. That would make it easy for individual investors to participate. The idea is to find disruptive, innovative technology companies, just like for other Ark funds, but in this case they wo…