I'm planning to build a wall-to-wall desk in a brick alcove using wooden battens to hold the desk up. I'm doing this post to find out what size screws and plugs I need and if I'm using the correct materials -- I don't want the desk to collapse.
ALCOVE
Here are the alcove with a temporary desk showing the dimensions. All 3 walls are brick. Unfortunately, neither of the corners are exactly 90 degrees.
DESK TOP
25mm MDF Board, Medium Density Fibre Board: 1200 x 600mm. https://www.amazon.co.uk/gp/product/B07YM5JZX4/ref=ppx_yo_dt_b_asin_title_o09_s00
BATTENS
Planed softwood: 1800 x 34 x 34mm. Is this ok? If not, I can get another piece.
SCREWS AND WALLPLUGS
What type and length of screws and wall plugs should I use? How many should I put in?
EDIT: Weight: the desk will only be a workstation, so it will only have keyboard, mouse, someone's elbows...etc
UPDATE #1
Thanks for the advice. I have decided to use 2x4 as the baton and attach with the 85mm fittings in the photo. Like this desk. Still need to get brackets or a metal stiffener.
QUESTION: Do I need a table leg under the right baton that sticks out past the wall or can it just float out past the wall?