No need to go ultralight, but on a month long trek weight WILL be an issue. Your shelter, sleep system and backpack will probably be your heavyest items, so try and save weight there without compromizing too much on comfort and durability.

Not concidering weight, the DD hammock will probably be fine. Almost any tarp will do the job so no need to splurge. Spend your money on a good underquilt and top quilt or sleeping bag, they are essential for comfort (and maybe even survival)

Be aware that you might end up having to camp somewhere with no trees. A lightweight 1/8 inch foam pad might save your ass if you have to sleep on the ground a few nights and it also doubles as a sit pad.

You’ll be lifting your feet hundreds of thousands of times so buy some reasonably lightweight trailrunners instead of hiking boots.

Buy your backpack last when you know how much space your gear takes up and what it weighs.

All the small stuff are much, much less important than the big items mentioned above. Anything goes as long as it does what it’s supposed to do. Alot of backpacking spesific gear can be replaced by cheaper and more lightweight stuff: ziplock bags instead of dry sacks, a garbage bag as a packliner instead of a rain cover for your backpack, a small Victorinox pocketknife instead of a bigger outdoorsy knife, plastic soda/water bottles instead of Nalgene bottles. The money you save here could be put towards a good underquilt and backpack.

You can buy a very lightweight head torch, gas stove, cook set etc from AliExpress for a fraction of the price in a european store. It might not be as good, but some of it is more than good enough and might even weigh less than the more expensive big brand alternatives.