For typing, you need something of reasonable size, keyboard is not one of the things you can shrink indefinitely and retain some comfort level at the same time.

I recommend Thinkpad X, it is quite small, and there is big second hand market, so it can be bought quite cheap, for like ~150-200 usd.

If it is mostly for typing, I would recommend getting a tablet with a keyboard cover or a foldable keyboard.

Tablets are much lower price, more portable and have much longer battery life than most laptops.

I paid 285$ a few months ago for a refurbished HP from New Egg. It’s perfect for shoving in a bag and for writing. The charge lasts something like 4 hours if I sit there with it open. It’ll last 2-3 days on my desk when I open it occasionally. I have it set to go to sleep after 15 minutes.

HP Elitebook x360 830 G5 - GRADE A - Intel Core i7-8550U 1.8GHz - FHD (1920 X 1080) Touchscreen, 256 GB SSD, 16 GB DDR4 RAM, Webcam, Backlit Keyboard, Windows 11 Pro https://www.newegg.com/p/1XV-000B-024J7?Item=9SIB9ADK030907&Source=socialshare&cm_mmc=snc-social-_-sr-_-9SIB9ADK030907-_-09192024

I used to own an Acer Alpha Switch. I was legitimately sad when the screen cracked. The battery had started to go bad and turn into a pillow. I broke the screen when I was in the process of trying to put it back together. Acer has some newer models I was looking at which were more in the 450$ price range at the time. I ended up going with HP instead because of the price and because I’ve never had any beef with their products with the exception of their printers.