@sbeeps1
You may need to talk directly to Google Nest Support. Unfortunately, you'll need to start here: https://support.google.com/googlenest/gethelp
With our Google Nest Camera (Battery), which is similar to the camera part of the floodlight camera, we also get an infinity symbol for our camera, which has been plugged in since we got it in Sept. 2021, so that sounds normal. (If we unplug it, the battery shows at 100%.) But other customers have posted oddities in this forum about their floodlight cameras.
When I go to Settings | Video for our battery camera, under "Video history" it says: "60-day event and 10-day video history"; we have a Nest Aware Plus subscription.
I'm just another customer and so can't tell what's going on with your subscription. It seems that if you buy a paid subscription DURING the 30-day free trial subscription, it only starts after the 30-day trial ends, so maybe the paid subscription doesn't even show up until then. We had a Nest Aware Plus subscription BEFORE we got the battery camera, and history worked for the new battery camera from the beginning. But, like I mentioned, people have reported oddities with the floodlight camera.
I'm also able to check my Nest Aware Subscription here, including the expiration date: https://support.google.com/googlenest/gethelp
This Google Nest Help page below lists what Google Nest says you get without a subscription ("Free Tier") for each camera and with each level of subscription for each camera.
In either the Google Home app or the Google Nest app, you can check your Nest Aware subscription level by selecting Settings | Nest Aware.
https://support.google.com/googlenest/answer/9681538
In addition, you can get Nest Aware only in these countries: Australia, Austria, Belgium, Canada, Denmark, Finland, France, Germany, Ireland, Italy, Japan, Netherlands, New Zealand, Norway, Spain, Sweden, Switzerland, United Kingdom, United States (except Puerto Rico) (https://support.google.com/store/answer/2462844#nest_aware)
That's all I know.
