Add eq3btsmart integration page (#31202)

Co-authored-by: J. Nick Koston <nick@koston.org>

source/_integrations/eq3btsmart.markdown

@@ -0,0 +1,37 @@
+---
+title: eQ-3 Bluetooth Smart Thermostats
+description: Instructions on how to integrate eQ-3 Bluetooth Smart Thermostats into Home Assistant.
+ha_category: Climate
+ha_iot_class: Local Polling
+ha_release: 2024.5
+ha_config_flow: true
+ha_codeowners:
+  - '@eulemitkeule'
+  - '@dbuezas'
+ha_domain: eq3btsmart
+ha_integration_type: integration
+---
+
+The `eq3btsmart` climate platform allows you to integrate eQ-3 Bluetooth Smart Thermostats.
+
+The current functionality allows setting the temperature as well as controlling the supported modes with help of the [eq3btsmart](https://github.com/eulemitkeule/eq3btsmart) library.
+As the device doesn't contain a temperature sensor ([read more](https://forum.fhem.de/index.php/topic,39308.15.html)), we report target temperature also as current one.
+
+### Pairing
+
+Pairing is only required with firmware versions above 120 and when not using ESPHome Bluetooth proxies.
+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>
+scan off
+pair <MAC>
+<Input the PIN displayed on the thermostat. To display the PIN hold down the main button.>
+trust <MAC>
+disconnect <MAC>
+exit
+```
+
+{% include integrations/config_flow.md %}

source/_redirects

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 /integrations/ee_brightbox /more-info/removed-integration 301
 /integrations/eight_sleep /more-info/removed-integration 301
 /integrations/envirophat /more-info/removed-integration 301
-/integrations/eq3btsmart /more-info/removed-integration 301
 /integrations/essent /more-info/removed-integration 301
 /integrations/facebox /more-info/removed-integration 301
 /integrations/fedex /more-info/removed-integration 301