For roads, a road bike or hybrid.
For paved trails, a road bike or hybrid.
For smooth gravel trails with fine gravel- hybrid or mountain bike
For singletrack mountainbike trails- mountain bike.
In your case, I'd suggest to forget the trails for now and get the road bike or hybrid. Then if you do wind up riding a bunch in the year ahead, go get a mountain bike and take on some trails then.
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"be careful this rando stuff is addictive and dan's the 'pusher'."