Basically the week is a full deload besides the maxing out. Extra recovery/mobility work between sessions and get some very light cardio in frequently to help recover better. Hot tub, hot showers, wading in a heated pool after a max out session or inbetween on the off days is a big help.
I would deadlift or squat at the beginning of the week and do the other at the end of the week to maximize recovery time in between. Ie squat Monday, bench Wednesday, press Saturday, pull Sunday.
If you squat lowbar you need to get your bench in before you do the squat day. And if you don’t need to know your standing press max, don’t test it - just have another day off and do the big 3 exclusively.
You can do some fluff stuff after the maxes, but we’re talking isolations like tricep pressdowns, facepulls, hamstring curls, back extensions. You should avoid doing compound work like Legpress, Lunges, heavy rowing, other pressing/dips. Better to save the gas for better maxes and less work to recover from.
Always eat at a surplus, primarily from carbs, the day before, and get lots of water and sodium in for added leverage. This doesn’t have to be sugar or junk food or mean eating anything out. Rice and soy sauce, mashed up baked potatoes, pasta & red sauce, breads, tortillas, fruit.