Manager at a FAANG here. Three days of sick leave (per year I’m guessing) is fucking insanely low. Just a flu will take someone out for a week easily. If you force them to come in or else take unpaid time off/risk being fired you’re going to a) get someone who is marginally productive at best and b) likely to get more coworkers sick, causing a bigger slowdown and costing the company more money. You also come off like the person who writes the memo that 40% of sick time is taken on a Monday or a Friday.
You’re Colin Robinson, the energy vampire of your office.