Changed sensor name after update

### The problem

My temperature sensor changed the name from `esphome_temperature_test_temperature_1` to `esphome_web_394f6f_temperature_1` after firmware update to 2023.12.1
Firmware's sensor name stays the same (`esphome_temperature_test_firmware`)
Other ESP devices didn't change any sensor's names.

### Which version of ESPHome has the issue?

2023.12.1

### What type of installation are you using?

Home Assistant Add-on

### Which version of Home Assistant has the issue?

_No response_

### What platform are you using?

ESP8266

### Board

d1_mini

### Component causing the issue

_No response_

### Example YAML snippet

```yaml
esphome:
name: esphome-web-394f6f
friendly_name: ESPHome Temperature Test

esp8266:
board: d1_mini

# Enable logging
logger:

# Enable Home Assistant API
api:
encryption:
key: "xxxxxxxxx"

ota:

wifi:
ssid: !secret wifi_ssid
password: !secret wifi_password

captive_portal:

dallas:
- pin: D4
update_interval: 10s

sensor:
- platform: dallas
index: 0
name: "Temperature #1"
```

### Anything in the logs that might be useful for us?

_No response_

### Additional information

_No response_