This is how I make tzaziki, simple and easy.
Peel a cucumber and cut in chunks. I do use the watery core too! Peel a clove of garlic and chop somewhat. Add both cucumber and garlic to a food processor, add salt as you would normally do for this amount of food to taste well.
Pulse a few times; don't turn it into baby food, it still needs a little structure.
Put in a sieve and let drip out for 15-30 minutes. Take a flexible spatula and press gently to get the water out. Take the preparation in your hands and squeeze some more water out, but not too enthusiastically, it needs just a bit of moist.
Put in a bowl, add at least the same part of thick Greek yoghurt*. Add dill; fresh if available, dried (like here) if fresh one not available. Add seasoning and mix. Et voilà, simple as that.
(*) you can use other yoghurt, but let it leak out overnight; gently put in a sieve over a bowl like in the 3th picture and let it sit in the fridge overnight. Don't press it out!!