Note 3 - Stock-based Compensation - Stock Option Activity (Details)	9 Months Ended
	Apr. 02, 2023 USD ($) $ / shares shares
Outstanding, options (in shares) | shares	0
Outstanding, weighted average exercise price (in dollars per share) | $ / shares	$ 0
Granted, options (in shares) | shares	2,346,416
Granted, weighted average exercise price (in dollars per share) | $ / shares	$ 8.59
Exercised, options (in shares) | shares	0
Exercised, weighted average exercise price (in dollars per share) | $ / shares	$ 0
Forfeited, options (in shares) | shares	(42,412)
Forfeited, weighted average exercise price (in dollars per share) | $ / shares	$ 8.59
Outstanding, options (in shares) | shares	2,304,004
Outstanding, weighted average exercise price (in dollars per share) | $ / shares	$ 8.59
Outstanding, weighted average remaining contractual term (Year)	9 years 7 months 6 days
Outstanding, aggregate intrinsic value | $	$ 6,705
Exercisable, options (in shares) | shares	0
Exercisable, weighted average exercise price (in dollars per share) | $ / shares	$ 0
Exercisable, aggregate intrinsic value | $	$ 0