I had a similar experience. I bought liberty Air 2 and it was a very frustrating experience as I couldn’t pair the device seamlessly no matter which device I tried to pair with.
I bought the AirPods the same week due to disappointment.
I tried all recommended steps and even resetting the headsets.
The right bud always disconnects intermittently when you touch and reposition fitting it will work for a second and stop, sometimes it will not even work.
When jogging or workout it is worse as the right bud will stop and play as you move.
The audio quality is great for a price range but the paring issues make it a bad product, unfortunately.
I would not recommend this specific product if you are budget savvy but looking for reliable decent-quality headsets try other options like the Boltune brand.
The sound core app doesn’t help much either.