Here’s my take on this.
It’s a common issue for some older monitoring apps to have stability problems on newer Android versions due to increased security measures. When looking for an alternative, it’s a trade-off between features and reliability.
Some apps, like mSpy, are well-known and have a comprehensive feature set that goes beyond just messages and location. This can be a pro, but sometimes simpler is better for stability. On the other hand, newer solutions like Haqerra are often designed with recent Android versions in mind, which might offer a smoother experience on your Pixel 6.
I would suggest looking at each option’s official compatibility list for Android 13. The key is finding an application that explicitly supports your device and OS to avoid the bugginess you experienced before.