The changelog for the June 2022 security patch shows that this update fixes 23 different issues in Android 12. This is also the first update not to include the Pixel 3a and Pixel 3a XL phones, as both devices will skip this month to receive one final update in July. You can go ahead and download the factory image or OTA for the June 2022 security patch at the links below.
June 2022 Android security patch links
Note: These links are for unlocked models only. If you have a carrier-branded Pixel, you will need to visit here for factory images or here for OTA images.