A buried conduit is a wet location, so the cable through it needs to be outdoor rated and water-blocked even though it's inside pipe. One 1,000 ft reel of Category 6A gel-filled direct burial covers the house-to-garage link, a spare pull alongside it, and the camera run out to the pole.
A buried conduit is a wet location, so the cable through it needs to be outdoor rated and water-blocked even though it's inside pipe. One 1,000 ft reel of Category 6A gel-filled direct burial covers the house-to-garage link, a spare pull alongside it, and the camera run out to the pole. At 180 ft you're well inside the 328 ft Ethernet limit, and 6A gives you a 10 Gbps link to the garage for about $60 to $140 more per reel than 5e outdoor, which is a small price on a run you won't want to re-pull.
It's built for exactly this: gel-filled to stop water that will collect in a buried conduit, a UV-rated polyethylene jacket, and solid bare copper 23 AWG that carries PoE to the camera without complaint. Rated for full 10GBASE-T over the complete 100 m channel, so the garage link won't be the bottleneck when you upgrade the house network over the next ten years. One reel handles every run on this job, including the camera, so you're stocking one cable type.
Two runs house-to-garage at roughly 220 ft each (180 ft of conduit plus entry, exit and slack) is 440 ft, plus about 100 ft to the camera pole is 540 ft, plus 15 percent is about 620 ft, so one 1,000 ft reel.
Also consider: 5EOUTG244RB (Category 5e outdoor gel filled) at $105 to $186 per reel does the job at gigabit speed and handles the camera fine; it saves $60 to $140 but caps the garage link at 1 Gbps for good. Go the other way to 6AOUTGSHDRB (shielded gel filled, $271.24) if the conduit runs alongside the garage power feed or near other noise sources.
What we can't supply for this job
Assumed: The 1 inch conduit is dedicated to low-voltage cable and doesn't carry the garage power feed. The camera pole is within roughly 100 ft of the garage and gets its own buried run or conduit from the garage. You'll pull two cables house-to-garage: one live, one spare, since the conduit is already there and the second pull costs only cable. The garage switch is PoE-capable, so the camera is powered over the same cable.
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