Bermuda is draining sensor batteries fast

## Configuration

HA 16.1 (2025.8.2)
Xiaomi bluetooth plant sensors HHCCJCY01
M5stack bluetooth proxies 25.5.1 (ESPHome 2025.5.0)

## Describe the bug

All is in the title; after acivation of Bermuda my plant sensors batteries were drained very fast. A screenshot is attached showing the start of the draining end of July and the stop at end of August (when I deactivated the extension)

## Diagnostics


No source file, test, or entry point is named. Start by reviewing the reported configuration and attached battery-drain screenshot, then reproduce the behavior with Bermuda activated and deactivated; done means determining whether Bermuda causes the drain and documenting or correcting the behavior.

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