Simulating touch event on android over other apps without affecting user interface(with root)

I have a task like, need to simulate touch/swipe event at the given co-ordination over other apps(On any screen of the phone) at the same time without affecting user interaction(Like both Programmatic simulation and User touch input needs to happen parallelly). It's ok to be a rooted phone.

I have tried the below things with the help of "SYSTEM_ALERT_WINDOW" and "Draw over the app" but can't achieve it.

1. Via AccessibilityService -> dispatchGesture. But AccessibilityService is synchronized, it can able to process any one of the events (Programmatic or User) at a time Ref:https://github.com/aosp-mirror/platform_frameworks_base/blob/master/core/java/android/accessibilityservice/AccessibilityService.java#L1017

2. Instrumentation.sendPointerSync -> But it required INJECT_EVENT permission to do touch on other apps, which is available only for Platform signature apps.

To overcome this permission issue changed the INJECT_EVENT permission state to "instant" and flashed custom ROM. Still can't able to process Programmatic and User Touch event at a time

Ref:http://aosp.opersys.com/xref/android-11.0.0_r33/xref/frameworks/base/core/res/AndroidManifest.xml#3189

3. On rooted phone tried to execute "/system/bin/input touchscreen swipe fromx,fromy,tox,toy,count" Is nothing but "adb shell input touchscreen swipe" Still can't able to process Programmatic and User Touch event at a time

Is there any way to simulate touch via programmatic without affecting user interaction? Is it possible?

Thanks in advance.