Given the recent service, it sounds like the float for the "low fluid" warning light sank and became stuck. On some models that float can be removed, and it's not unheard of for someone to forget to put it back in. It has a magnet built in that trips the switch when the float sinks low enough in the reservoir.
You can verify this by unplugging the "low fluid" switch. That should make the red warning light turn off.
Replacing brake fluid periodically is recommended by every manufacturer, but very few of us actually do this because that system is so trouble-free. I did this on my '93 Dodge Dynasty this summer. The old fluid isn't the problem. It's that brake fluid absorbs moisture from the humidity in the air. That can lead to corrosion of internal parts, but more commonly, it can lead to one form of brake fade by lowering the boiling point of the brake fluid from well over 400 degrees to closer to 212 degrees.
This drawing, step 6, is the closest I could find that shows the "Low Fluid Level" switch. If you can't read it, I can cut it into pieces and expand them for you, or you can copy and paste it into an MS Word typing program to make it bigger.
Image (Click to make bigger)
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Monday, August 9th, 2021 AT 5:30 PM