The Arizona Secretary of State posts updated registration data every calendar quarter. The April 1, 2023 tally is the first one to include the No Labels Party. See it here. It shows 17 registered voters in that party. When the July 1 data is posted, undoubtedly No Labels will have a higher number.
By comparison, the June 1, 2023 Colorado registration tally shows 1,070 registered members of No Labels. The Oregon Secretary of State’s June 1 tally still doesn’t include No Labels; the office says they are temporarily listed in the “other” column.
Congrats to No Labels for getting ballot access. I wish them luck in mobilizing registered voters.