Improve eq3btsmart pairing explanation after new firmware release (#35764)

source/_integrations/eq3btsmart.markdown

@@ -23,16 +23,46 @@ As the device doesn't contain a temperature sensor ([read more](https://forum.fh
 
 ### Pairing
 
-Pairing is only required with firmware versions above 120 and when not using ESPHome Bluetooth proxies.
+Pairing your eQ-3 Bluetooth Smart Thermostat device works differently based on your method of connection and the device's firmware version.
+
+#### [ESPHome Bluetooth Proxies](https://esphome.io/components/bluetooth_proxy.html)
+
+For firmware versions below 148, no additional configuration is required when using ESPHome Bluetooth Proxies.
+Since version 148, a security flaw in the devices has been fixed that now requires entering a passkey.
+
+To configure the passkey, add the following to your ESPHome Bluetooth Proxy's configuration:
+
+```yaml
+esp32_ble:
+  io_capability: keyboard_only
+
+ble_client:
+  - mac_address: <MAC>
+    id: my_eq3_thermostat
+    auto_connect: true
+    on_passkey_request:
+      then:
+        - ble_client.passkey_reply:
+            id: my_eq3_thermostat
+            passkey: <PIN code displayed on the thermostat. To display the PIN hold down the main button.>
+```
+
+For further information see the [ESPHome documentation](https://esphome.io/components/ble_client.html#on-passkey-request).
+
+#### Other
+
+Pairing is only required with firmware versions above 120.<br>
 Before configuring Home Assistant you need to pair the thermostat to your Bluetooth adapter using `bluetoothctl`.
 
 ```bash
 bluetoothctl
 scan on
-<Wait for the thermostat to show up and copy the MAC address. It will look something like this: [NEW] Device 00:1A:23:27:F8:4E CC-RT-BLE>
+# Wait for the thermostat to show up and copy its MAC address
+# Expected output: [NEW] Device 00:1A:23:27:F8:4E CC-RT-BLE
 scan off
 pair <MAC>
-<Input the PIN displayed on the thermostat. To display the PIN hold down the main button.>
+# Hold down the main button on the thermostat to display the PIN
+# Enter the displayed PIN when prompted
 trust <MAC>
 disconnect <MAC>
 exit