prius 08: truestart battery drains when going into accessory mode and warranty eligiblity

Hello,

I have an issue with my truestart battery that was purchased in 2013, and still in it's 7th year warranty.
Basically the first time I noticed the issue was about a year ago, when I went into accessory mode after some time (less than 30 mins), the dashboard died, and I couldn't do anything. Had to jumpstart. After that incident, I went to pop boys, to measure the 12v battery in the back, and they said that it appears to be still good.

Fast forward to couple of weeks ago (I haven't been really going into accessory mode since then) I accidentally pressed the on button, without holding the brake paddle, so it went to accessory mode, and almost died instantly. had to do another jump start.

A week after, went to pep boys to measure the battery, and the measurement tool showed 247 and the red color, which means the battery is bad and according to the pep rep it needs to be replaced. see picture:
(where description says "first measurement showing 245 and red color at pep boys, meaning battery needs replacement.").

In the following week, I was trying to figure out which battery replacement should I get, before I realized I still have a prorated battery warranty when I spoke with the toyota dealer. But what they told me, which I want to confirm with you guys, if it makes sense, is basically if I don't want to pay their service to check the battery for $169, I need to bring only the battery from my car, which then they will test in their machine, and once it's confirmed to be bad, they will give me a replacement battery for a prorated price. Does a person who has warranty for a battery, really needs to go through the hassle of taking out the battery from his car, only to prove to toyota that the battery is bad, so he can avoid the expensive service fee of checking it for $169 (which costs more than the prorated amount of the battery)?? Can't a toyota dealer confirm the battery is bad for free under the warranty?

Other than going to accessory mode, I don't have problem to start the car and drive for my daily commute.
I ran the computer diagnostic while driving, and it shows there 13.8-13.9v. See picture in:
(where description says "computer diagnostic screen while driving.").
Also, I went last night to another pep boys again, this time they used a different machine that gives a receipt print out, and they told me the battery is good.
see picture:
(where description says "second measure at another pep boys. battery seems to be good.").

So at this point I'm a really confused. I've been told by a toyota dealer service adviser that suposedly the prius should be able to handle up to 2 hours of accessory mode, and an older battery 30 mins or so (is that right?). But can it really drain after less than 5 minutes and consider it not to be a problem?

I'm just trying to understand, if at this point, I have a case for a replacement battery? I just don't want to go through the hassle of taking out the existing battery, take it to Toyota dealer, only to get denied by them saying the battery is still good? how do I prove to them that the battery drains instantly in accessory mode without my car and avoiding the $169 service fee to check the battery? (which pep boys do for free).

Please advise what should I do. My battery warranty expires in September of this year.

Thank you!

 

Thank you. The prorated price is 25% off the MSRP. I talk with another dealer they offer the labor for $70 of replacing it and/or $70 for running a diagnostic on it. I guess my best bet is to take it out and bring it to the dealer, but then they might recharge it and won’t see a problem. I drive about 8 hours a week on average.
I haven’t really hanged in accessory mode, I hit it by mistake as I wanted to close the open windows, and by the time I realized that it died on me. I guess another option is to buy the small jump start device.

btw do you know if I buy a prorated battery, do I get a new 7 year warranty on it?