Should Ireland be involved in a unified European army at any non-military capacity? Or should the country stay completely neutral?

I am for neutrality but with geopolitical uncertainty on the horizon, it is hard for Ireland to still remain completely neutral. There is no guarantee that the current status quo, as in Ireland being de facto protected by US and UK, will last forever. However, I don't see the country becoming part of any military alliance without the public opinion changing any time soon.

I think Ireland could be involved somehow non-militarily with a unified EU army, like providing finance or logistics. But I could see staunchly neutralists will say that this will even provoke potential enemies of the EU and we'd receive some sort of retaliation in response.

What do others think? Aid the EU army non-militarily if formed? Or completely do not be involved with the EU army?

Edit: grammar