Upgrade to Shimano GRX / Compatability

I have a 2016 GT Grade Alloy 105, with FSA BB and crankset  and TRP Spyre mechanical / hydraulic brakes.

Needing a new BB, cassette and chain anyway, I am planning to upgrade to Shimano 1x, can I use my existing 5800 levers with the brakes?

I am changing to RX812 Rear mech, Rx 810 11-42 cassette, RX 810 chainset, HG701 chain. I am finding the range / compatability difficult to get my head round, despite finding the Shimano compatability document online. Thanks in advance.

https://productinfo.shimano.com/#/com

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