i have a new hp laptop here with same specs (r3,17in,8gb,250ssd). cleaned-up and updated, with firefox, the user's av, and a couple smaller programs, but no crud from being 'used' yet. ~ 172gb free.
your goal of 200gb free with hp's factory load is not going to happen. you will have to reinstall from a plain win11 installer usb made from microsoft's utility.
then after you're installed, put windows into compact state:
compact /compactos:always
instructions here
before you begin, i would highly recommend finding 'hp cloud recovery tool' from the windows 'store'. install that, run it off the start menu (find it, right click, run-as-admin), and make a factory recovery usb for your model (the model number is on the bottom of the unit, usually, looks something like "63U47UA#ABA"). so you'll need two empty flash drives. the hp recovery requires 32gb one. the windows installer one can be as small as 8gb i think.
all that, and you'll probably still be a little short of your goal--and that's without updates, junk added while used, and anything you may want to put on. and also remember ssd drives function best when they aren't jam-packed with data. so you really should be considering an upgrade for the nvme ssd inside the laptop.