my $check_if_bracket_table = $dbh->prepare("SELECT name 
                                            FROM sqlite_master
                                            WHERE 
                                              type = 'table' AND
                                              name = 'Brackets'");
$check_if_bracket_table->execute();
my $ref = $check_if_bracket_table -> fetchall_arrayref;

if (@$ref >0){...}   # the Bracket Table exists...