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Well, I would say there are two things that you can do off the top of my head.
From a training point of view you can do lots of work desensitizing him to the noise by muffling the sound and pairing it with treats for very short sessions on a daily basis then slowly muffle the sound less or do the drill with the alarm outside and an increased distance, then slowly move the alarm closer.
Or, from a management point of view you can try to figure to the best of your knowledge how long the batteries last in the alarm and change them much before you guestimate they will run low. You can also remove the batteries when they are home by themself if no human is going to be relying on the alarm anyway (as long as you have a good system to remember to put the batteries back in).
You can also do a search for alternative alarms that might use a different sound or warning that communicates a low battery.
Those are my immediate brainstorms at least…
Here’s one alternative:
