Smart Key/Keyless issue: works randomly, different handles respond, someting

I’m having an issue with the Smart Key/Keyless system in my Gen 2 Prius and I’m wondering if anyone has experienced something similar.

Symptoms:

The car starts fine with both keys (both when inserted and without inserting – the transponder is recognized).

The problem is with locking/unlocking the doors using the handle (keyless) and sometimes with the remote buttons.

The LED on the key fob blinks when trying to lock, but the car doesn’t lock.

Sometimes the driver’s door handle works, sometimes only the left rear door handle works, and sometimes neither.

Sometimes the trunk button will lock/unlock, and then it stops working again.

Sometimes the keyless works perfectly in the morning, but after a few hours of parking or even after a short drive it starts acting up.

Occasionally, the handle button only works if the fob is close to the rear antenna (near the rear door), but not from the front.

On the dash, I sometimes see the orange “car with a key inside” indicator (not the golden immobilizer one) blinking.

 

I've replaced the batteries, but that didn't help. It just works randomly, or sometimes it detects the key inside and I have to insert it into the drawer. Sometimes I don't even know what's going on.

 

One more thing, what does the AGM battery have to do with this? I'm looking, and I don't know where to look. Why did the antennas suddenly fail? Apparently, they're in the door handles. And suddenly everything worked, and it got worse and worse. I was curious about the AGM's voltage. It's 12V. When I turn on the ignition, it drops to 11V, and then to 10.6V after a while when I turn on the lights and blower. But even if I turn on the ignition and charge the battery, it doesn't change the operation of the SKS (keyless) system. The best part is that when I press the button on the door handle, the LED in the remote flashes, meaning they're communicating, but the car isn't following the command, or the remote isn't sending this information to the car. I don't know what I'm talking about anymore.

 

Unfortunately, I don't have such instructions

 

Czy możesz mi wyjaśnić co masz na myśli i jak to zrobić???

 

And now the best part. This morning, I started the car without any problems. I live in a housing estate. I went into the menu, the AGM voltage was 11.7V, and I drove to work. I have clean air at work, no buildings, and absolutely no problems.

 

It's already been revealed what's going on. I've replaced the AGM with a regular Bosch S4 lead-acid battery. I wonder if my fuel consumption will improve if I install the AGM, as many people have written that the AGM has a huge impact on fuel consumption.

 

Okay, I understand. Well, it's dropping to 10.9V, so that's not good. My question is, is fuel consumption of 5.2-5.3 liters of gasoline okay, mainly in the city and on short trips? Do I need to work on my technique? And why is it that after driving during the day, my battery is almost empty according to the MFD screen, but when I drive to work the next morning, it's either below 50% or even at the limit? Does this mean my HV battery needs checking?

 

and could this be the reason why my keyless system is malfunctioning?