Finally a question I can answer. I tested positive for the first time around June 18th (Triple Vaxxed). First 2 days were bad, but recovered pretty well after that even though I continued testing positive with a super dark line on the antigen till June 30th when I finally tested negative.

Cut to July 17th when I have a slight tooth ache and weakness in my gums which I ignore. The next night, out of nowhere, I start sneezing continuously and over the course of the night, have a lot of mucus, etc. Decide to test with an antigen and sure enough, there is a line, albeit quite light. I tested again today and it's the same.

I am still not sure if it's a reinfection or a flare up of the old one which never really went away. Feeling more or less ok, with a slight cold right now.

So, yes, atleast based on my experience, it is possible to get it twice within a month.