savannabits/jetstream-inertia-generator[v1.0.0, ..., v1.1.0, v2.0.0, ..., v2.1.4] require php ^7.4 -> your php version (8.2.2) does not satisfy that requirement.
savannabits/jetstream-inertia-generator[v2.2.0, ..., v2.2.3] require illuminate/support ^v8.40 -> found illuminate/support[v8.40.0, ..., v8.83.27] but these were not loaded, likely because it conflicts with another require.
savannabits/jetstream-inertia-generator[v2.3.0, ..., v2.4.0, v3.0.0, ..., v3.1.0] require illuminate/support ^8 -> found illuminate/support[v8.0.0, ..., v8.83.27] but these were not loaded, likely because it conflicts with another require.
savannabits/jetstream-inertia-generator v3.2.0 requires inertiajs/inertia-laravel ^0.4 -> found inertiajs/inertia-laravel[v0.4.0, ..., v0.4.5] but it conflicts with your root composer.json require (^0.6.8).
savannabits/jetstream-inertia-generator[v3.2.1, ..., v3.3.0] require inertiajs/inertia-laravel ^0.5 -> found inertiajs/inertia-laravel[v0.5.0, ..., v0.5.4] but it conflicts with your root composer.json require (^0.6.8).
Problem 1