How to coax my girlfriend when I didn't get back to playing the game.
First of all, you need to admit your mistakes and show that you care and value her. Tell your girlfriend that you realized you were playing games for too long and didn't respond to her messages in a timely manner, making her feel uncomfortable and ignored. You can say something along the lines of "Baby, I know I've been playing the game for too long and not responding to your messages in a timely manner, making you feel uncomfortable and ignored." I'm really sorry, in the future I will be more mindful of my actions and stop making you feel hurt. Such words make her feel your apology and concern.
Then, you need to give your girlfriend enough comfort and care. Ask her how she is doing and if there's anything she could help with. You can send her some cute memes or jokes to make her feel better. If she asks for anything, try to accommodate her needs as much as possible and make her feel loved and valued by you.
Next, you need to give your girlfriend a clear commitment and plan of action. Tell her that you will pay more attention to your actions in the future and will not ignore her feelings because of playing games. You can set a time limit, such as playing the game for only one hour a day, replying to her messages in a timely manner, and so on. At the same time, you also need to let your girlfriend know that your plan is feasible and that you will follow through with it.
Finally, you need to show your gratitude and love to your girlfriend. Tell her that you appreciate her understanding and support, and that you will work hard for your future. You can say something like "Baby, thank you for your understanding and support of me, I will work hard for our future." I love you! Such words make her feel your love and gratitude.
In short, if you don't get back to your girlfriend after playing games, you need to coax and change it, and you want her to feel your apologies, care, commitment, and love. At the same time, you also need to think carefully about your behavior and take effective measures to improve yourself.