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I would NOT use the range values of 0-180.. most servos can NOT travel that full range.. I would try somewhere between 15-165 and test your limits from there.
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You mention MQTT server.. but what one? Are you using an on-line free service or something? (not familiar with what home assistant is.. and you have not provided any links to anything)..
So is this a free, on-line service somewhere?
Are you rolling your own MQTT server? Like using a Raspberry Pi configured as an MQTT server or something?
Homeassistant, mqtt server etc are ok and working.
How do you know?