Update changelog for 2025.9.1

Author: jesserockz

content/changelog/2025.9.0.md

@@ -158,6 +158,18 @@ and advanced setups may require updates.
 
 <!-- markdownlint-disable MD013 -->
 
+## Release 2025.9.1 - September 19
+
+<details>
+<summary></summary>
+
+- [mqtt] Fix KeyError when MQTT logging configured without explicit level [esphome#10774](https://github.com/esphome/esphome/pull/10774) by [@bdraco](https://github.com/bdraco)
+- fix(packet_transport): Add initialization for sensor configuration in packet transport [esphome#10765](https://github.com/esphome/esphome/pull/10765) by [@TMaYaD](https://github.com/TMaYaD)
+- [core] Fix ESP8266 mDNS compilation failure caused by incorrect coroutine priorities [esphome#10773](https://github.com/esphome/esphome/pull/10773) by [@bdraco](https://github.com/bdraco)
+- [gpio] Fix unused function warnings when compiling with log level below DEBUG [esphome#10779](https://github.com/esphome/esphome/pull/10779) by [@bdraco](https://github.com/bdraco)
+
+</details>
+
 ## Full list of changes
 
 ### New Features