Hmm, the route you’ve shown takes an easy grade 1 scramble to begin with, great for hiking but probably a massive pain in the arse verging on possibly dangerous with a bike (there’s a couple of sections where using your hands is required if not recommended!).
The path over the tops is probably rideable in places, I think there’s a lot of rocky stuff and steep in places, probably a lot of thrutchy brakey stuff.
The second summit verges on scrambly again, and most of the descent off the ridge is either marshy steep hillside or steep track through the forest which looked like it could be fun if someone took a hatchet to a lot of the low hanging branches.
Leave the bike at home, it’s a great hike otherwise 8)