Could you try testing if Tasmota IR recognizes the codes from your remote?
It’s true it doesn’t use ESPHome which is very easy to use and might be a little hit and miss with ESP32 and Tasmato IR (ESP8266 would be preferable) but, if signal is identified, then with both a IR blaster and a receiver placed near the AC you can also use the original remote of AC and have it in sync with HA.