perfect game question

If a seven inning game is scheduled as part of a double header will a pitcher get credit for Perfect game in this situation:

tied 0-0 after 8 innings with perfect game going

in the top of 9th a batter is placed on second

1st batter grounds out to 2B and runner advances to 3rd

next batter flies out and runner tags and scores

next batter is retired

pitcher loses game 1-0