Just a heads-up, you can use and pair each earbud individually. You are not confined to using just the right earbud, this is confirmed by Soundcore as well.
To do so just follow these steps after your initial pairing:
Take the left earbud from the charging case, press and hold down the button until it turns off. Then press once to turn on the left earbud—the white indicator light will be flashing.
Then, quickly tap three times to enter pairing mode. The white indicator will flash slowly.
In your Bluetooth menu you will see “Soundcore Liberty Neo L” click it to pair it with your phone.