If you disconnect the battery the alarm is unlikely to work anyway on a car that age unless you've renewed the auxiliary alarm battery.
If you are still on original battery prehaps you would be better off renewing it rather than disconnecting it then the month layup will be no problem. Alternatively leave a trickle or smart charger connected to the battery if possible, you don't say where you are leaving it, if at home the charger is possible if airport car park even disconnecting the battery is possibly impractical.
Paul.
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