If I exit Thailand at the Thai Border Gate on Friendship Bridge Nong Khai. and go shopping in No Mans Land ,Can I re enter without crossing the bridge to enter Laos and can I get a visa on arrival to re enter Thailand?

Hello, I need some advice please, myself and my 10 year old daughter has a ED and NO visa that runs out on 20th August, I'm going back to Christmas in December and will renew both my NO visa and her ED visa then. But in the mean time I will do a visa run and get my last 3 months till November and than an extension till we leave,my question is what can I do for my daughter? Does she need to do a visa run or can I go to the immigration office and get and extension for her? I know she doesn't need to do a Visa run until she is 14? Any advise would be gratefully received 🙂 she has been invited to go ok holiday with friend and I don't want a problem at the boarder?